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212157056 = 2731127421
BaseRepresentation
bin11001010010101…
…00001010000000
3112210012200202202
430221110022000
5413303011211
633015132332
75154206456
oct1451241200
9483180682
10212157056
11a9836811
125b0740a8
1334c52927
14202689d6
151395b53b
hexca54280

212157056 has 64 divisors (see below), whose sum is σ = 440770560. Its totient is φ = 101606400.

The previous prime is 212156981. The next prime is 212157079. The reversal of 212157056 is 650751212.

It is a tau number, because it is divible by the number of its divisors (64).

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, 503726 + ... + 504146.

It is an arithmetic number, because the mean of its divisors is an integer number (6887040).

Almost surely, 2212157056 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 212157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220385280).

212157056 is an abundant number, since it is smaller than the sum of its proper divisors (228613504).

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

212157056 is a wasteful number, since it uses less digits than its factorization.

212157056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 212157056 is about 14565.6121052292. The cubic root of 212157056 is about 596.4204051560.

The spelling of 212157056 in words is "two hundred twelve million, one hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 127 128 248 254 421 496 508 842 992 1016 1684 1984 2032 3368 3937 3968 4064 6736 7874 8128 13051 13472 15748 16256 26102 26944 31496 52204 53467 53888 62992 104408 106934 125984 208816 213868 251968 417632 427736 503936 835264 855472 1657477 1670528 1710944 3314954 3421888 6629908 6843776 13259816 26519632 53039264 106078528 212157056