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226495588896 = 25324119181537
BaseRepresentation
bin1101001011110000110…
…0000110101000100000
3210122121212102001120200
43102330030012220200
512202330332321041
6252014534305200
722235525511603
oct3227414065040
9718555361520
10226495588896
1188068945305
1237a90ab8200
1318487661c25
14ad68d4033a
155d595be1b6
hex34bc306a20

226495588896 has 72 divisors (see below), whose sum is σ = 659806544124. Its totient is φ = 73657098240.

The previous prime is 226495588871. The next prime is 226495588897. The reversal of 226495588896 is 698885594622.

226495588896 is a `hidden beast` number, since 2 + 2 + 6 + 495 + 58 + 8 + 89 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 226419898896 + 75690000 = 475836^2 + 8700^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (226495588897) 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, 9578961 + ... + 9602576.

Almost surely, 2226495588896 is an apocalyptic number.

It is an amenable number.

226495588896 is an abundant number, since it is smaller than the sum of its proper divisors (433310955228).

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

226495588896 is a wasteful number, since it uses less digits than its factorization.

226495588896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19181594 (or 19181583 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 226495588896 in words is "two hundred twenty-six billion, four hundred ninety-five million, five hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 19181537 38363074 57544611 76726148 115089222 153452296 172633833 230178444 306904592 345267666 460356888 613809184 690535332 786443017 920713776 1381070664 1572886034 1841427552 2359329051 2762141328 3145772068 4718658102 5524282656 6291544136 7077987153 9437316204 12583088272 14155974306 18874632408 25166176544 28311948612 37749264816 56623897224 75498529632 113247794448 226495588896