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77227216 = 24112271933
BaseRepresentation
bin1001001101001…
…10010011010000
312101022112211021
410212212103100
5124232232331
611355125224
71625264143
oct446462320
9171275737
1077227216
113a657a50
1221a43814
1312ccc2a1
14a38405a
156ba7211
hex49a64d0

77227216 has 40 divisors (see below), whose sum is σ = 164034144. Its totient is φ = 34930560.

The previous prime is 77227193. The next prime is 77227217. The reversal of 77227216 is 61272277.

It is a super-2 number, since 2×772272162 = 11928085782221312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77227217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38986 + ... + 40918.

Almost surely, 277227216 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 77227216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82017072).

77227216 is an abundant number, since it is smaller than the sum of its proper divisors (86806928).

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

77227216 is a wasteful number, since it uses less digits than its factorization.

77227216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2173 counting only the distinct ones).

The product of its digits is 16464, while the sum is 34.

The square root of 77227216 is about 8787.9016835647. The cubic root of 77227216 is about 425.8501386804.

The spelling of 77227216 in words is "seventy-seven million, two hundred twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 227 454 908 1816 1933 2497 3632 3866 4994 7732 9988 15464 19976 21263 30928 39952 42526 85052 170104 340208 438791 877582 1755164 3510328 4826701 7020656 9653402 19306804 38613608 77227216