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212222124253044 = 223271736977163019
BaseRepresentation
bin110000010000001111010000…
…010101000101111101110100
31000211102020101201200100110200
4300100033100111011331310
5210304021402302044134
62031205255321120500
762462354035326513
oct6020172025057564
91024366351610420
10212222124253044
11616909965810a4
121b9760a0029130
1391555ca7a5609
143a59869b6a67a
1519805b7908499
hexc103d0545f74

212222124253044 has 144 divisors (see below), whose sum is σ = 551540568458880. Its totient is φ = 68778676592640.

The previous prime is 212222124253033. The next prime is 212222124253063. The reversal of 212222124253044 is 440352421222212.

212222124253044 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 221 + 2 + 425 + 3 + 0 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1301742967 + ... + 1301905985.

It is an arithmetic number, because the mean of its divisors is an integer number (3830142836520).

Almost surely, 2212222124253044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212222124253044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275770284229440).

212222124253044 is an abundant number, since it is smaller than the sum of its proper divisors (339318444205836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212222124253044 is a wasteful number, since it uses less digits than its factorization.

212222124253044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170150 (or 170145 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 212222124253044 its reverse (440352421222212), we get a palindrome (652574545475256).

The spelling of 212222124253044 in words is "two hundred twelve trillion, two hundred twenty-two billion, one hundred twenty-four million, two hundred fifty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 73 142 146 213 219 284 292 426 438 639 657 852 876 1278 1314 2556 2628 5183 6977 10366 13954 15549 20732 20931 27908 31098 41862 46647 62196 62793 83724 93294 125586 163019 186588 251172 326038 489057 495367 509321 652076 978114 990734 1018642 1467171 1486101 1527963 1956228 1981468 2037284 2934342 2972202 3055926 4458303 4583889 5868684 5944404 6111852 8916606 9167778 11574349 11900387 17833212 18335556 23148698 23800774 34723047 35701161 36161791 46297396 47601548 69446094 71402322 72323582 104169141 107103483 108485373 138892188 142804644 144647164 208338282 214206966 216970746 325456119 416676564 428413932 433941492 650912238 844927477 1137383563 1301824476 1689854954 2274767126 2534782431 3379709908 3412150689 4549534252 5069564862 6824301378 7604347293 10139129724 10236452067 13648602756 15208694586 20472904134 30417389172 40945808268 80754232973 83029000099 161508465946 166058000198 242262698919 249087000297 323016931892 332116000396 484525397838 498174000594 726788096757 747261000891 969050795676 996348001188 1453576193514 1494522001782 2907152387028 2989044003564 5895059007029 11790118014058 17685177021087 23580236028116 35370354042174 53055531063261 70740708084348 106111062126522 212222124253044