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222212011000230 = 23351578849592393
BaseRepresentation
bin110010100001100111000011…
…111110110000000110100110
31002010210021001010001010112000
4302201213003332300012212
5213111210144304001410
62104334442200110130
764543200532532046
oct6241470376600646
91063707033033460
10222212011000230
1164892648177639
1220b0a214a65346
1396cb66c63c874
143cc3193a95726
151aa539ea6bdc0
hexca19c3fb01a6

222212011000230 has 128 divisors (see below), whose sum is σ = 596408061744000. Its totient is φ = 58872352960512.

The previous prime is 222212011000163. The next prime is 222212011000339. The reversal of 222212011000230 is 32000110212222.

222212011000230 is a `hidden beast` number, since 2 + 2 + 221 + 201 + 10 + 0 + 0 + 230 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374812914 + ... + 375405306.

It is an arithmetic number, because the mean of its divisors is an integer number (4659437982375).

Almost surely, 2222212011000230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222212011000230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298204030872000).

222212011000230 is an abundant number, since it is smaller than the sum of its proper divisors (374196050743770).

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

222212011000230 is a wasteful number, since it uses less digits than its factorization.

222212011000230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601415 (or 601409 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 222212011000230 its reverse (32000110212222), we get a palindrome (254212121212452).

The spelling of 222212011000230 in words is "two hundred twenty-two trillion, two hundred twelve billion, eleven million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 157 270 314 471 785 942 1413 1570 2355 2826 4239 4710 7065 8478 8849 14130 17698 21195 26547 42390 44245 53094 79641 88490 132735 159282 238923 265470 398205 477846 592393 796410 1184786 1194615 1389293 1777179 2389230 2778586 2961965 3554358 4167879 5331537 5923930 6946465 8335758 8885895 10663074 12503637 13892930 15994611 17771790 20839395 25007274 26657685 31989222 37510911 41678790 53315370 62518185 75021822 79973055 93005701 125036370 159946110 186011402 187554555 279017103 375109110 465028505 558034206 837051309 930057010 1395085515 1674102618 2511153927 2790171030 4185256545 5022307854 5242085657 8370513090 10484171314 12555769635 15726256971 25111539270 26210428285 31452513942 47178770913 52420856570 78631284855 94357541826 141536312739 157262569710 235893854565 283072625478 471787709130 707681563695 823007448149 1415363127390 1646014896298 2469022344447 4115037240745 4938044688894 7407067033341 8230074481490 12345111722235 14814134066682 22221201100023 24690223444470 37035335166705 44442402200046 74070670333410 111106005500115 222212011000230