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222102000212220 = 22345137100000131
BaseRepresentation
bin110010100000000000100110…
…110100111001100011111100
31002010101202002021100001210000
4302200000212310321203330
5213102404344023242340
62104212130023114300
764532224420340502
oct6240004664714374
91063352067301700
10222102000212220
116484aa24a29317
1220ab0a325a2990
1396c1189b3652b
143cbbb192a4672
151aa25b1a42d30
hexca0026d398fc

222102000212220 has 60 divisors (see below), whose sum is σ = 696742200670824. Its totient is φ = 59227200056160.

The previous prime is 222102000212083. The next prime is 222102000212227. The reversal of 222102000212220 is 22212000201222.

222102000212220 is a `hidden beast` number, since 2 + 2 + 210 + 20 + 0 + 0 + 212 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222102000212193 and 222102000212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222102000212227) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68549998446 + ... + 68550001685.

Almost surely, 2222102000212220 is an apocalyptic number.

222102000212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222102000212220 is an abundant number, since it is smaller than the sum of its proper divisors (474640200458604).

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

222102000212220 is a wasteful number, since it uses less digits than its factorization.

222102000212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137100000152 (or 137100000141 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222102000212220 its reverse (22212000201222), we get a palindrome (244314000413442).

The spelling of 222102000212220 in words is "two hundred twenty-two trillion, one hundred two billion, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 137100000131 274200000262 411300000393 548400000524 685500000655 822600000786 1233900001179 1371000001310 1645200001572 2056500001965 2467800002358 2742000002620 3701700003537 4113000003930 4935600004716 6169500005895 7403400007074 8226000007860 11105100010611 12339000011790 14806800014148 18508500017685 22210200021222 24678000023580 37017000035370 44420400042444 55525500053055 74034000070740 111051000106110 222102000212220