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23194985401 = 72217572
BaseRepresentation
bin10101100110100001…
…110110001110111001
32012212111110100021101
4111212201312032321
5340000404013101
614353341011401
71450536060100
oct254641661671
965774410241
1023194985401
119922a67925
1245b3b53b61
1322585abb43
1411a0767037
1590b4c8401
hex5668763b9

23194985401 has 9 divisors (see below), whose sum is σ = 26983161999. Its totient is φ = 19880502264.

The previous prime is 23194985393. The next prime is 23194985441. The reversal of 23194985401 is 10458949132.

The square root of 23194985401 is 152299.

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., 21352515625 + 1842469776 = 146125^2 + 42924^2 .

It is not a de Polignac number, because 23194985401 - 23 = 23194985393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23194985441) 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 8 ways as a sum of consecutive naturals, for example, 1055215 + ... + 1076971.

It is an arithmetic number, because the mean of its divisors is an integer number (2998129111).

Almost surely, 223194985401 is an apocalyptic number.

23194985401 is the 152299-th square number.

23194985401 is the 76150-th centered octagonal number.

It is an amenable number.

23194985401 is a deficient number, since it is larger than the sum of its proper divisors (3788176598).

23194985401 is an frugal number, since it uses more digits than its factorization.

23194985401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43528 (or 21764 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 23194985401 in words is "twenty-three billion, one hundred ninety-four million, nine hundred eighty-five thousand, four hundred one".

Divisors: 1 7 49 21757 152299 1066093 473367049 3313569343 23194985401