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9217920100 = 225296012
BaseRepresentation
bin10001001010110111…
…00100110001100100
3212210102010212012011
420211123210301210
5122334241420400
64122404004004
7444300012424
oct104533446144
925712125164
109217920100
113a00303894
121953090604
13b3b9700bc
14636340484
1538e3c58ba
hex2256e4c64

9217920100 has 27 divisors (see below), whose sum is σ = 20004970251. Its totient is φ = 3686784000.

The previous prime is 9217920083. The next prime is 9217920133. The reversal of 9217920100 is 10297129.

The square root of 9217920100 is 96010.

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 202037796 + 9015882304 = 14214^2 + 94952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 955300 + ... + 964900.

Almost surely, 29217920100 is an apocalyptic number.

9217920100 is the 96010-th square number.

It is an amenable number.

9217920100 is an abundant number, since it is smaller than the sum of its proper divisors (10787050151).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9217920100 is an frugal number, since it uses more digits than its factorization.

9217920100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19216 (or 9608 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The cubic root of 9217920100 is about 2096.7387095836.

The spelling of 9217920100 in words is "nine billion, two hundred seventeen million, nine hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 9601 19202 38404 48005 96010 192020 240025 480050 960100 92179201 184358402 368716804 460896005 921792010 1843584020 2304480025 4608960050 9217920100