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226470333132 = 22336164153629
BaseRepresentation
bin1101001011101010101…
…1110000101011001100
3210122120002212221012000
43102322223300223030
512202302401130012
6252012233112300
722235101032621
oct3227253605314
9718502787160
10226470333132
118805566527a
1237a84558690
131848235b4a4
14ad65848348
155d57280ddc
hex34baaf0acc

226470333132 has 96 divisors (see below), whose sum is σ = 597712785600. Its totient is φ = 74135347200.

The previous prime is 226470333113. The next prime is 226470333203. The reversal of 226470333132 is 231333074622.

226470333132 is a `hidden beast` number, since 2 + 2 + 647 + 0 + 3 + 3 + 3 + 1 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4196094 + ... + 4249722.

It is an arithmetic number, because the mean of its divisors is an integer number (6226174850).

Almost surely, 2226470333132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226470333132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298856392800).

226470333132 is an abundant number, since it is smaller than the sum of its proper divisors (371242452468).

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

226470333132 is a wasteful number, since it uses less digits than its factorization.

226470333132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54344 (or 54336 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 226470333132 in words is "two hundred twenty-six billion, four hundred seventy million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 641 732 1098 1282 1647 1923 2196 2564 3294 3846 5769 6588 7692 11538 17307 23076 34614 39101 53629 69228 78202 107258 117303 156404 160887 214516 234606 321774 351909 469212 482661 643548 703818 965322 1055727 1407636 1447983 1930644 2111454 2895966 3271369 4222908 5791932 6542738 9814107 13085476 19628214 29442321 34376189 39256428 58884642 68752378 88326963 103128567 117769284 137504756 176653926 206257134 309385701 353307852 412514268 618771402 928157103 1237542804 1856314206 2096947529 3712628412 4193895058 6290842587 8387790116 12581685174 18872527761 25163370348 37745055522 56617583283 75490111044 113235166566 226470333132