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23226064801 = 25725932
BaseRepresentation
bin10101101000011000…
…011001111110100001
32012221122221100012021
4111220120121332201
5340031333033201
614400411101441
71451364202432
oct255030317641
965848840167
1023226064801
119939565285
124602441881
132261b71214
1411a4937489
1590e0b6ea1
hex568619fa1

23226064801 has 9 divisors (see below), whose sum is σ = 23356176601. Its totient is φ = 23096676352.

The previous prime is 23226064789. The next prime is 23226064817. The reversal of 23226064801 is 10846062232.

The square root of 23226064801 is 152401.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11406026401 + 11820038400 = 106799^2 + 108720^2 .

It is not a de Polignac number, because 23226064801 - 211 = 23226062753 is a prime.

It is a super-2 number, since 2×232260648012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23226064891) 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 8 ways as a sum of consecutive naturals, for example, 39166761 + ... + 39167353.

Almost surely, 223226064801 is an apocalyptic number.

23226064801 is the 152401-st square number.

23226064801 is the 76201-st centered octagonal number.

It is an amenable number.

23226064801 is a deficient number, since it is larger than the sum of its proper divisors (130111800).

23226064801 is an frugal number, since it uses more digits than its factorization.

23226064801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 23226064801 in words is "twenty-three billion, two hundred twenty-six million, sixty-four thousand, eight hundred one".

Divisors: 1 257 593 66049 152401 351649 39167057 90373793 23226064801