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53222656 = 282967107
BaseRepresentation
bin1100101100000…
…1110100000000
310201010222202111
43023001310000
5102111111111
65140425104
71214246044
oct313016400
9121128674
1053222656
1128051a73
12159a8194
13b0461c6
1470d6024
154a14a21
hex32c1d00

53222656 has 72 divisors (see below), whose sum is σ = 112583520. Its totient is φ = 25073664.

The previous prime is 53222641. The next prime is 53222669. The reversal of 53222656 is 65622235.

It is a super-2 number, since 2×532226562 = 5665302223388672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 497355 + ... + 497461.

It is an arithmetic number, because the mean of its divisors is an integer number (1563660).

Almost surely, 253222656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56291760).

53222656 is an abundant number, since it is smaller than the sum of its proper divisors (59360864).

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

53222656 is a wasteful number, since it uses less digits than its factorization.

53222656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its digits is 21600, while the sum is 31.

The square root of 53222656 is about 7295.3859390714. The cubic root of 53222656 is about 376.1538528364.

The spelling of 53222656 in words is "fifty-three million, two hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 67 107 116 128 134 214 232 256 268 428 464 536 856 928 1072 1712 1856 1943 2144 3103 3424 3712 3886 4288 6206 6848 7169 7424 7772 8576 12412 13696 14338 15544 17152 24824 27392 28676 31088 49648 57352 62176 99296 114704 124352 198592 207901 229408 248704 397184 415802 458816 497408 794368 831604 917632 1663208 1835264 3326416 6652832 13305664 26611328 53222656