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292273216 = 2621372
BaseRepresentation
bin10001011010111…
…011110001000000
3202100222000110221
4101122323301000
51044310220331
645000232424
710146165334
oct2132736100
9670860427
10292273216
1113aa87214
1281a6b714
1348723b41
142ab617c4
151a9d4711
hex116bbc40

292273216 has 21 divisors (see below), whose sum is σ = 580251189. Its totient is φ = 146068224.

The previous prime is 292273211. The next prime is 292273271. The reversal of 292273216 is 612372292.

It is a happy number.

The square root of 292273216 is 17096.

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., 13249600 + 279023616 = 3640^2 + 16704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (292273211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 135700 + ... + 137836.

It is an arithmetic number, because the mean of its divisors is an integer number (27631009).

Almost surely, 2292273216 is an apocalyptic number.

292273216 is the 17096-th square number.

It is an amenable number.

292273216 is a deficient number, since it is larger than the sum of its proper divisors (287977973).

292273216 is an frugal number, since it uses more digits than its factorization.

292273216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 2139 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The cubic root of 292273216 is about 663.6355962483.

The spelling of 292273216 in words is "two hundred ninety-two million, two hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 2137 4274 8548 17096 34192 68384 136768 4566769 9133538 18267076 36534152 73068304 146136608 292273216