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224590451514 = 231121368334841
BaseRepresentation
bin1101000100101010100…
…0100101001100111010
3210110201002120001101220
43101022220211030322
512134430123422024
6251101520452510
722140363224322
oct3211250451472
9713632501356
10224590451514
1187280500400
123763aa7a136
1318242a4cbc0
14ac27cda282
155c971e8e79
hex344aa2533a

224590451514 has 96 divisors (see below), whose sum is σ = 532500599232. Its totient is φ = 62728723200.

The previous prime is 224590451489. The next prime is 224590451567. The reversal of 224590451514 is 415154095422.

It is a super-2 number, since 2×2245904515142 (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 6428734 + ... + 6463574.

It is an arithmetic number, because the mean of its divisors is an integer number (5546881242).

Almost surely, 2224590451514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224590451514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266250299616).

224590451514 is an abundant number, since it is smaller than the sum of its proper divisors (307910147718).

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

224590451514 is a wasteful number, since it uses less digits than its factorization.

224590451514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35564 (or 35553 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 224590451514 in words is "two hundred twenty-four billion, five hundred ninety million, four hundred fifty-one thousand, five hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 683 726 858 1366 1573 2049 3146 4098 4719 7513 8879 9438 15026 17758 22539 26637 34841 45078 53274 69682 82643 97669 104523 165286 195338 209046 247929 293007 383251 452933 495858 586014 766502 905866 1074359 1149753 1358799 2148718 2299506 2717598 3223077 4215761 4982263 6446154 8431522 9964526 12647283 14946789 23796403 25294566 29893578 47592806 54804893 71389209 109609786 142778418 164414679 261760433 309353239 328829358 523520866 618706478 785281299 928059717 1570562598 1856119434 2879364763 3402885629 5758729526 6805771258 8638094289 10208656887 17276188578 20417313774 37431741919 74863483838 112295225757 224590451514