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23196813025 = 528323672
BaseRepresentation
bin10101100110101000…
…110100011011100001
32012212121220012022011
4111212220310123201
5340001341004100
614353444112521
71450560441331
oct254650643341
965777805264
1023196813025
119923aa5a61
1245b4695741
132258a9b989
1411a0ac10c1
1590b739bba
hex566a346e1

23196813025 has 27 divisors (see below), whose sum is σ = 29194326291. Its totient is φ = 18283910640.

The previous prime is 23196813023. The next prime is 23196813049. The reversal of 23196813025 is 52031869132.

The square root of 23196813025 is 152305.

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

It can be written as a sum of positive squares in only one way, i.e., 8350852689 + 14845960336 = 91383^2 + 121844^2 .

It is not a de Polignac number, because 23196813025 - 21 = 23196813023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23196813023) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 63206392 + ... + 63206758.

Almost surely, 223196813025 is an apocalyptic number.

23196813025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23196813025 is the 152305-th square number.

23196813025 is the 76153-rd centered octagonal number.

It is an amenable number.

23196813025 is a deficient number, since it is larger than the sum of its proper divisors (5997513266).

23196813025 is an frugal number, since it uses more digits than its factorization.

23196813025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 23196813025 in words is "twenty-three billion, one hundred ninety-six million, eight hundred thirteen thousand, twenty-five".

Divisors: 1 5 25 83 367 415 1835 2075 6889 9175 30461 34445 134689 152305 172225 673445 761525 2528263 3367225 11179187 12641315 55895935 63206575 279479675 927872521 4639362605 23196813025