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23332257001 = 103214832
BaseRepresentation
bin10101101110101101…
…011111110011101001
32020020001202110111201
4111232231133303221
5340241024211001
614415123124201
71454123624614
oct255655376351
966201673451
1023332257001
1199934a6029
124631b13661
13227ab72341
1411b4a9b17b
15918591501
hex56eb5fce9

23332257001 has 9 divisors (see below), whose sum is σ = 23576881149. Its totient is φ = 23090149836.

The previous prime is 23332256989. The next prime is 23332257031. The reversal of 23332257001 is 10075223332.

The square root of 23332257001 is 152749.

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

It is not a de Polignac number, because 23332257001 - 225 = 23298702569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23332257031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15732406 + ... + 15733888.

It is an arithmetic number, because the mean of its divisors is an integer number (2619653461).

Almost surely, 223332257001 is an apocalyptic number.

23332257001 is the 152749-th square number.

23332257001 is the 76375-th centered octagonal number.

It is an amenable number.

23332257001 is a deficient number, since it is larger than the sum of its proper divisors (244624148).

23332257001 is an frugal number, since it uses more digits than its factorization.

23332257001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The spelling of 23332257001 in words is "twenty-three billion, three hundred thirty-two million, two hundred fifty-seven thousand, one".

Divisors: 1 103 1483 10609 152749 2199289 15733147 226526767 23332257001