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91197216 = 25321122617
BaseRepresentation
bin1010110111110…
…00111100100000
320100121022001200
411123320330200
5141321302331
613014401200
72155110045
oct533707440
9210538050
1091197216
1147529900
1226660200
1315b80b66
14c17d1cc
1580165e6
hex56f8f20

91197216 has 108 divisors (see below), whose sum is σ = 285170886. Its totient is φ = 27624960.

The previous prime is 91197209. The next prime is 91197217. The reversal of 91197216 is 61279119.

It can be written as a sum of positive squares in only one way, i.e., 52707600 + 38489616 = 7260^2 + 6204^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (91197217) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33540 + ... + 36156.

Almost surely, 291197216 is an apocalyptic number.

91197216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91197216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142585443).

91197216 is an abundant number, since it is smaller than the sum of its proper divisors (193973670).

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

91197216 is a wasteful number, since it uses less digits than its factorization.

91197216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2633 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 91197216 is about 9549.7233467782. The cubic root of 91197216 is about 450.1188426856.

The spelling of 91197216 in words is "ninety-one million, one hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2617 2904 3168 3872 4356 5234 5808 7851 8712 10468 11616 15702 17424 20936 23553 28787 31404 34848 41872 47106 57574 62808 83744 86361 94212 115148 125616 172722 188424 230296 251232 259083 316657 345444 376848 460592 518166 633314 690888 753696 921184 949971 1036332 1266628 1381776 1899942 2072664 2533256 2763552 2849913 3799884 4145328 5066512 5699826 7599768 8290656 10133024 11399652 15199536 22799304 30399072 45598608 91197216