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23551506225 = 32521327872
BaseRepresentation
bin10101111011110001…
…110111011100110001
32020210100022110220100
4111323301313130301
5341213141144400
614452554303013
71462425333312
oct257361673461
966710273810
1023551506225
119a96236235
124693427a69
1322b4409100
1411d5c50609
1592c94e100
hex57bc77731

23551506225 has 81 divisors (see below), whose sum is σ = 45735958593. Its totient is φ = 11579855040.

The previous prime is 23551506211. The next prime is 23551506233. The reversal of 23551506225 is 52260515532.

The square root of 23551506225 is 153465.

It is a perfect power (a square), and thus also a powerful number.

23551506225 is a `hidden beast` number, since 23 + 5 + 5 + 1 + 5 + 0 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6070435569 + 17481070656 = 77913^2 + 132216^2 .

It is not a de Polignac number, because 23551506225 - 215 = 23551473457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23551506225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29925282 + ... + 29926068.

Almost surely, 223551506225 is an apocalyptic number.

23551506225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23551506225 is the 153465-th square number.

23551506225 is the 76733-rd centered octagonal number.

It is an amenable number.

23551506225 is a deficient number, since it is larger than the sum of its proper divisors (22184452368).

23551506225 is an equidigital number, since it uses as much as digits as its factorization.

23551506225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Multiplying 23551506225 by its sum of digits (36), we get a square (847854224100 = 9207902).

The spelling of 23551506225 in words is "twenty-three billion, five hundred fifty-one million, five hundred six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 787 845 975 1521 2361 2535 2925 3935 4225 7083 7605 10231 11805 12675 19675 30693 35415 38025 51155 59025 92079 133003 153465 177075 255775 399009 460395 619369 665015 767325 1197027 1858107 1995045 2301975 3096845 3325075 5574321 5985135 8051797 9290535 9975225 15484225 24155391 27871605 29925675 40258985 46452675 72466173 104673361 120776955 139358025 201294925 314020083 362330865 523366805 603884775 942060249 1570100415 1811654325 2616834025 4710301245 7850502075 23551506225