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224045016336 = 2436171129897
BaseRepresentation
bin1101000010101000011…
…1111010010100010000
3210102022002020002000000
43100222013322110100
512132321011010321
6250531434130000
722121021134311
oct3205207722420
9712262202000
10224045016336
1187020630929
1237508280900
1318186a4a3ab
14abb56b8608
155c643a8826
hex342a1fa510

224045016336 has 140 divisors (see below), whose sum is σ = 689118010812. Its totient is φ = 70288570368.

The previous prime is 224045016301. The next prime is 224045016367. The reversal of 224045016336 is 633610540422.

224045016336 is a `hidden beast` number, since 2 + 2 + 40 + 450 + 163 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107794022400 + 116250993936 = 328320^2 + 340956^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 224045016336.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 366661 + ... + 763236.

Almost surely, 2224045016336 is an apocalyptic number.

It is an amenable number.

224045016336 is an abundant number, since it is smaller than the sum of its proper divisors (465072994476).

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

224045016336 is a wasteful number, since it uses less digits than its factorization.

224045016336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129940 (or 1129919 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 224045016336 its reverse (633610540422), we get a palindrome (857655556758).

The spelling of 224045016336 in words is "two hundred twenty-four billion, forty-five million, sixteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 729 816 918 972 1224 1296 1377 1458 1836 1944 2448 2754 2916 3672 3888 4131 5508 5832 7344 8262 11016 11664 12393 16524 22032 24786 33048 49572 66096 99144 198288 1129897 2259794 3389691 4519588 6779382 9039176 10169073 13558764 18078352 19208249 20338146 27117528 30507219 38416498 40676292 54235056 57624747 61014438 76832996 81352584 91521657 115249494 122028876 153665992 162705168 172874241 183043314 230498988 244057752 274564971 307331984 345748482 366086628 460997976 488115504 518622723 549129942 691496964 732173256 823694913 921995952 1037245446 1098259884 1382993928 1464346512 1555868169 1647389826 2074490892 2196519768 2765987856 3111736338 3294779652 4148981784 4393039536 4667604507 6223472676 6589559304 8297963568 9335209014 12446945352 13179118608 14002813521 18670418028 24893890704 28005627042 37340836056 56011254084 74681672112 112022508168 224045016336