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200430402222344 = 23767101858161637
BaseRepresentation
bin101101100100101001010110…
…111011010011100100001000
3222021122221220100100100021012
4231210221112323103210020
5202232322430432103334
61550140242230503052
760134422132663340
oct5544512673234410
9867587810310235
10200430402222344
1158955068932338
121a590908204a88
1387ab6764012a8
14376cc51813d20
1518289c4a639ce
hexb64a56ed3908

200430402222344 has 128 divisors (see below), whose sum is σ = 440278399653120. Its totient is φ = 83767761792000.

The previous prime is 200430402222319. The next prime is 200430402222409. The reversal of 200430402222344 is 443222204034002.

It is a super-2 number, since 2×2004304022223442 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200430402222344.

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 31 ways as a sum of consecutive naturals, for example, 3251756294 + ... + 3251817930.

It is an arithmetic number, because the mean of its divisors is an integer number (3439674997290).

Almost surely, 2200430402222344 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 200430402222344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220139199826560).

200430402222344 is an abundant number, since it is smaller than the sum of its proper divisors (239847997430776).

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

200430402222344 is a wasteful number, since it uses less digits than its factorization.

200430402222344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70399 (or 70395 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 200430402222344 its reverse (443222204034002), we get a palindrome (643652606256346).

The spelling of 200430402222344 in words is "two hundred trillion, four hundred thirty billion, four hundred two million, two hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 67 101 134 202 268 404 469 536 707 808 938 1414 1876 2828 3752 5656 6767 8581 13534 17162 27068 34324 47369 54136 60067 61637 68648 94738 120134 123274 189476 240268 246548 378952 431459 480536 493096 574927 862918 866681 1149854 1725836 1733362 2299708 3451672 3466724 4024489 4129679 4599416 6066767 6225337 6933448 8048978 8259358 12133534 12450674 16097956 16518716 24267068 24901348 28907753 32195912 33037432 43577359 48534136 49802696 57815506 58067627 87154718 115631012 116135254 174309436 231262024 232270508 348618872 406473389 417097579 464541016 528907097 812946778 834195158 1057814194 1625893556 1668390316 2115628388 2919683053 3251787112 3336780632 3702349679 4231256776 5839366106 7404699358 11678732212 14809398716 23357464424 29618797432 35436775499 53419616797 70873550998 106839233594 141747101996 213678467188 248057428493 283494203992 373937317579 427356934376 496114856986 747874635158 992229713972 1495749270316 1984459427944 2991498540632 3579114325399 7158228650798 14316457301596 25053800277793 28632914603192 50107600555586 100215201111172 200430402222344