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212856416 = 2531229937
BaseRepresentation
bin11001010111111…
…10111001100000
3112211112020002222
430223332321200
5413442401131
633042130212
75163151433
oct1453767140
9484466088
10212856416
11aa1741a3
125b350968
1335139056
14203ab81a
1513a4887b
hexcafee60

212856416 has 48 divisors (see below), whose sum is σ = 434931840. Its totient is φ = 102435840.

The previous prime is 212856409. The next prime is 212856481. The reversal of 212856416 is 614658212.

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, 226700 + ... + 227636.

It is an arithmetic number, because the mean of its divisors is an integer number (9061080).

Almost surely, 2212856416 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 212856416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217465920).

212856416 is an abundant number, since it is smaller than the sum of its proper divisors (222075424).

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

212856416 is a wasteful number, since it uses less digits than its factorization.

212856416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1199 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 212856416 is about 14589.5995832648. The cubic root of 212856416 is about 597.0750382425.

The spelling of 212856416 in words is "two hundred twelve million, eight hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 124 229 248 458 496 916 937 992 1832 1874 3664 3748 7099 7328 7496 14198 14992 28396 29047 29984 56792 58094 113584 116188 214573 227168 232376 429146 464752 858292 929504 1716584 3433168 6651763 6866336 13303526 26607052 53214104 106428208 212856416