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212941056 = 2831914593
BaseRepresentation
bin11001011000100…
…11100100000000
3112211200112012210
430230103210000
5414003103211
633044022120
75163653256
oct1454234400
9484615183
10212941056
11aa221849
125b391940
1335168733
14203d05d6
1513a639a6
hexcb13900

212941056 has 72 divisors (see below), whose sum is σ = 596602720. Its totient is φ = 67239936.

The previous prime is 212941039. The next prime is 212941087. The reversal of 212941056 is 650149212.

It is an alternating number because its digits alternate between even and odd.

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, 7296 + ... + 21888.

Almost surely, 2212941056 is an apocalyptic number.

It is a pronic number, being equal to 14592×14593.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212941056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298301360).

212941056 is an abundant number, since it is smaller than the sum of its proper divisors (383661664).

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

212941056 is a wasteful number, since it uses less digits than its factorization.

212941056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14631 (or 14617 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 212941056 is about 14592.4999914340. The cubic root of 212941056 is about 597.1541678505.

The spelling of 212941056 in words is "two hundred twelve million, nine hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 14592 14593 29186 43779 58372 87558 116744 175116 233488 277267 350232 466976 554534 700464 831801 933952 1109068 1400928 1663602 1867904 2218136 2801856 3327204 3735808 4436272 5603712 6654408 8872544 11207424 13308816 17745088 26617632 35490176 53235264 70980352 106470528 212941056