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226515772116 = 223243127075393
BaseRepresentation
bin1101001011110101100…
…1000110001011010100
3210122200021101110202100
43102331121012023110
512202401014201431
6252020535042100
722236162203034
oct3227531061324
9718607343670
10226515772116
1188079280257
1237a97810330
131848b8aa86a
14ad6b8b58c4
155d5b2594e6
hex34bd6462d4

226515772116 has 72 divisors (see below), whose sum is σ = 574228497024. Its totient is φ = 75288280320.

The previous prime is 226515772081. The next prime is 226515772151. The reversal of 226515772116 is 611277515622.

226515772116 is a `hidden beast` number, since 2 + 2 + 6 + 51 + 577 + 21 + 1 + 6 = 666.

226515772116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226515772081) and next prime (226515772151).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41999116 + ... + 42004508.

It is an arithmetic number, because the mean of its divisors is an integer number (7975395792).

Almost surely, 2226515772116 is an apocalyptic number.

It is an amenable number.

226515772116 is an abundant number, since it is smaller than the sum of its proper divisors (347712724908).

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

226515772116 is a wasteful number, since it uses less digits than its factorization.

226515772116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8541 (or 8536 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The spelling of 226515772116 in words is "two hundred twenty-six billion, five hundred fifteen million, seven hundred seventy-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 431 862 1293 1724 2586 2707 3879 5172 5393 5414 7758 8121 10786 10828 15516 16179 16242 21572 24363 32358 32484 48537 48726 64716 97074 97452 194148 1166717 2324383 2333434 3500151 4648766 4666868 6973149 7000302 9297532 10500453 13946298 14000604 14598851 20919447 21000906 27892596 29197702 41838894 42001812 43796553 58395404 83677788 87593106 131389659 175186212 262779318 525558636 6292104781 12584209562 18876314343 25168419124 37752628686 56628943029 75505257372 113257886058 226515772116