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226515203172 = 223217370122881
BaseRepresentation
bin1101001011110101011…
…0111011010001100100
3210122200020022120022100
43102331112323101210
512202400343000142
6252020514532100
722236154313226
oct3227526732144
9718606276270
10226515203172
1188078a21855
1237a97597030
131848b73b8cb
14ad6b7a8416
155d5b195b4c
hex34bd5bb464

226515203172 has 36 divisors (see below), whose sum is σ = 606261280716. Its totient is φ = 71063592960.

The previous prime is 226515203171. The next prime is 226515203237. The reversal of 226515203172 is 271302515622.

226515203172 is a `hidden beast` number, since 2 + 2 + 65 + 1 + 520 + 3 + 1 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136799378496 + 89715824676 = 369864^2 + 299526^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2265152031723 (a number of 35 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (226515203171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185060829 + ... + 185062052.

It is an arithmetic number, because the mean of its divisors is an integer number (16840591131).

Almost surely, 2226515203172 is an apocalyptic number.

It is an amenable number.

226515203172 is an abundant number, since it is smaller than the sum of its proper divisors (379746077544).

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

226515203172 is a wasteful number, since it uses less digits than its factorization.

226515203172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370122908 (or 370122903 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 226515203172 its reverse (271302515622), we get a palindrome (497817718794).

The spelling of 226515203172 in words is "two hundred twenty-six billion, five hundred fifteen million, two hundred three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 370122881 740245762 1110368643 1480491524 2220737286 3331105929 4441474572 6292088977 6662211858 12584177954 13324423716 18876266931 25168355908 37752533862 56628800793 75505067724 113257601586 226515203172