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225123125720 = 23538343333937
BaseRepresentation
bin1101000110101001100…
…0100100100111011000
3210112002012212201001012
43101222120210213120
512142023010010340
6251230425513052
722156521665333
oct3215230444730
9715065781035
10225123125720
1187524154419
1237769342788
13182c920523c
14ac7895961a
155cc8d68565
hex346a6249d8

225123125720 has 64 divisors (see below), whose sum is σ = 509037419520. Its totient is φ = 89604071424.

The previous prime is 225123125683. The next prime is 225123125743. The reversal of 225123125720 is 27521321522.

It is a happy number.

225123125720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6616592 + ... + 6650528.

It is an arithmetic number, because the mean of its divisors is an integer number (7953709680).

Almost surely, 2225123125720 is an apocalyptic number.

225123125720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225123125720 is an abundant number, since it is smaller than the sum of its proper divisors (283914293800).

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

225123125720 is a wasteful number, since it uses less digits than its factorization.

225123125720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34764 (or 34760 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 225123125720 in words is "two hundred twenty-five billion, one hundred twenty-three million, one hundred twenty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 383 433 766 866 1532 1732 1915 2165 3064 3464 3830 4330 7660 8660 15320 17320 33937 67874 135748 165839 169685 271496 331678 339370 663356 678740 829195 1326712 1357480 1658390 3316780 6633560 12997871 14694721 25995742 29389442 51991484 58778884 64989355 73473605 103982968 117557768 129978710 146947210 259957420 293894420 519914840 587788840 5628078143 11256156286 22512312572 28140390715 45024625144 56280781430 112561562860 225123125720