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91222164 = 2232112231033
BaseRepresentation
bin1010110111111…
…11000010010100
320100122120021200
411123333002110
5141323102124
613015112500
72155242555
oct533770224
9210576250
1091222164
1147546620
1226672730
1315b8c317
14c18832c
15801dbc9
hex56ff094

91222164 has 72 divisors (see below), whose sum is σ = 252924672. Its totient is φ = 27492480.

The previous prime is 91222151. The next prime is 91222177. The reversal of 91222164 is 46122219.

It is an interprime number because it is at equal distance from previous prime (91222151) and next prime (91222177).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87792 + ... + 88824.

Almost surely, 291222164 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 91222164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126462336).

91222164 is an abundant number, since it is smaller than the sum of its proper divisors (161702508).

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

91222164 is a wasteful number, since it uses less digits than its factorization.

91222164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1272 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 91222164 is about 9551.0294733081. The cubic root of 91222164 is about 450.1598839276.

The spelling of 91222164 in words is "ninety-one million, two hundred twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 223 396 446 669 892 1033 1338 2007 2066 2453 2676 3099 4014 4132 4906 6198 7359 8028 9297 9812 11363 12396 14718 18594 22077 22726 29436 34089 37188 44154 45452 68178 88308 102267 136356 204534 230359 409068 460718 691077 921436 1382154 2073231 2533949 2764308 4146462 5067898 7601847 8292924 10135796 15203694 22805541 30407388 45611082 91222164