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225236020356 = 223317313957341
BaseRepresentation
bin1101000111000100011…
…1001110110010000100
3210112101002022100101000
43101301013032302010
512142240410122411
6251245541333300
722162362404244
oct3216107166204
9715332270330
10225236020356
1187581952876
123779b107230
1318316711cb9
14ac89945b24
155cd3c18956
hex34711cec84

225236020356 has 96 divisors (see below), whose sum is σ = 638240117760. Its totient is φ = 68382835200.

The previous prime is 225236020343. The next prime is 225236020357. The reversal of 225236020356 is 653020632522.

225236020356 is a `hidden beast` number, since 2 + 2 + 523 + 60 + 20 + 3 + 56 = 666.

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 225236020356.

It is not an unprimeable number, because it can be changed into a prime (225236020357) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1921755 + ... + 2035586.

It is an arithmetic number, because the mean of its divisors is an integer number (6648334560).

Almost surely, 2225236020356 is an apocalyptic number.

It is an amenable number.

225236020356 is an abundant number, since it is smaller than the sum of its proper divisors (413004097404).

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

225236020356 is a wasteful number, since it uses less digits than its factorization.

225236020356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957402 (or 3957394 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 225236020356 its reverse (653020632522), we get a palindrome (878256652878).

The spelling of 225236020356 in words is "two hundred twenty-five billion, two hundred thirty-six million, twenty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 93 102 108 124 153 186 204 279 306 372 459 527 558 612 837 918 1054 1116 1581 1674 1836 2108 3162 3348 4743 6324 9486 14229 18972 28458 56916 3957341 7914682 11872023 15829364 23744046 35616069 47488092 67274797 71232138 106848207 122677571 134549594 142464276 201824391 213696414 245355142 269099188 368032713 403648782 427392828 490710284 605473173 736065426 807297564 1104098139 1210946346 1472130852 1816419519 2085518707 2208196278 2421892692 3312294417 3632839038 4171037414 4416392556 6256556121 6624588834 7265678076 8342074828 12513112242 13249177668 18769668363 25026224484 37539336726 56309005089 75078673452 112618010178 225236020356