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225126667760 = 2458279973413
BaseRepresentation
bin1101000110101010011…
…0000101010111110000
3210112002110112122210212
43101222212011113300
512142024411332020
6251231033443252
722156564050101
oct3215246052760
9715073478725
10225126667760
1187526153625
123776a570528
13182c9b75517
14ac791dc3a8
155cc9317cc5
hex346a9855f0

225126667760 has 80 divisors (see below), whose sum is σ = 524731745376. Its totient is φ = 89825240064.

The previous prime is 225126667741. The next prime is 225126667789. The reversal of 225126667760 is 67766621522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 225126667699 and 225126667708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65959814 + ... + 65963226.

Almost surely, 2225126667760 is an apocalyptic number.

225126667760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225126667760 is an abundant number, since it is smaller than the sum of its proper divisors (299605077616).

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

225126667760 is a wasteful number, since it uses less digits than its factorization.

225126667760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 225126667760 in words is "two hundred twenty-five billion, one hundred twenty-six million, six hundred sixty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 827 997 1654 1994 3308 3413 3988 4135 4985 6616 6826 7976 8270 9970 13232 13652 15952 16540 17065 19940 27304 33080 34130 39880 54608 66160 68260 79760 136520 273040 824519 1649038 2822551 3298076 3402761 4122595 5645102 6596152 6805522 8245190 11290204 13192304 13611044 14112755 16490380 17013805 22580408 27222088 28225510 32980760 34027610 45160816 54444176 56451020 65961520 68055220 112902040 136110440 225804080 272220880 2814083347 5628166694 11256333388 14070416735 22512666776 28140833470 45025333552 56281666940 112563333880 225126667760