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23375085225 = 35210312972333
BaseRepresentation
bin10101110001010000…
…110111111010101001
32020100001100100210020
4111301100313322221
5340333010211400
614423253111053
71455153642342
oct256120677251
966301310706
1023375085225
119a05698558
124644328489
1322869b929b
1411ba6490c9
1591c2012a0
hex571437ea9

23375085225 has 48 divisors (see below), whose sum is σ = 39068844672. Its totient is φ = 12330869760.

The previous prime is 23375085191. The next prime is 23375085229. The reversal of 23375085225 is 52258057332.

It is not a de Polignac number, because 23375085225 - 214 = 23375068841 is a prime.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23375085229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10018159 + ... + 10020491.

It is an arithmetic number, because the mean of its divisors is an integer number (813934264).

Almost surely, 223375085225 is an apocalyptic number.

23375085225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23375085225 is a deficient number, since it is larger than the sum of its proper divisors (15693759447).

23375085225 is a wasteful number, since it uses less digits than its factorization.

23375085225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 23375085225 in words is "twenty-three billion, three hundred seventy-five million, eighty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 103 309 515 1297 1545 2333 2575 3891 6485 6999 7725 11665 19455 32425 34995 58325 97275 133591 174975 240299 400773 667955 720897 1201495 2003865 3025901 3339775 3604485 6007475 9077703 10019325 15129505 18022425 45388515 75647525 226942575 311667803 935003409 1558339015 4675017045 7791695075 23375085225