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230133403444 = 227139167523677
BaseRepresentation
bin1101011001010100000…
…1010000111100110100
3211000000101121011222211
43112111001100330310
512232303122402234
6253415525303204
722424630440120
oct3262501207464
9730011534884
10230133403444
118966534120a
1238727264b04
1318917221c09
14b1d2134580
155ebdb50164
hex3595050f34

230133403444 has 96 divisors (see below), whose sum is σ = 467935856640. Its totient is φ = 97003101312.

The previous prime is 230133403433. The next prime is 230133403523. The reversal of 230133403444 is 444304331032.

It is a super-2 number, since 2×2301334034442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339930834 + ... + 339931510.

It is an arithmetic number, because the mean of its divisors is an integer number (4874331840).

Almost surely, 2230133403444 is an apocalyptic number.

It is an amenable number.

230133403444 is an abundant number, since it is smaller than the sum of its proper divisors (237802453196).

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

230133403444 is a wasteful number, since it uses less digits than its factorization.

230133403444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 230133403444 its reverse (444304331032), we get a palindrome (674437734476).

The spelling of 230133403444 in words is "two hundred thirty billion, one hundred thirty-three million, four hundred three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 139 167 278 334 523 556 668 677 973 1046 1169 1354 1946 2092 2338 2708 3661 3892 4676 4739 7322 9478 14644 18956 23213 46426 72697 87341 92852 94103 113059 145394 162491 174682 188206 226118 290788 324982 349364 354071 376412 452236 508879 611387 649964 658721 708142 791413 1017758 1222774 1317442 1416284 1582826 2035516 2445548 2478497 2634884 3165652 4956994 9913988 12140399 15715201 24280798 31430402 48561596 49215869 59129857 62860804 84982793 98431738 110006407 118259714 169965586 196863476 220012814 236519428 339931172 344511083 413908999 440025628 689022166 827817998 1378044332 1655635996 8219050123 16438100246 32876200492 57533350861 115066701722 230133403444