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94237164 = 223272371229
BaseRepresentation
bin1011001110111…
…11000111101100
320120022202002100
411213133013230
5143111042124
613203455100
72223000630
oct547370754
9216282070
1094237164
114921585a
1227687490
13166a6748
14c730dc0
1584171c9
hex59df1ec

94237164 has 144 divisors (see below), whose sum is σ = 289336320. Its totient is φ = 25280640.

The previous prime is 94237111. The next prime is 94237181. The reversal of 94237164 is 46173249.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411402 + ... + 411630.

It is an arithmetic number, because the mean of its divisors is an integer number (2009280).

Almost surely, 294237164 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 94237164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144668160).

94237164 is an abundant number, since it is smaller than the sum of its proper divisors (195099156).

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

94237164 is a wasteful number, since it uses less digits than its factorization.

94237164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 335 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 94237164 is about 9707.5828093300. The cubic root of 94237164 is about 455.0656653607.

The spelling of 94237164 in words is "ninety-four million, two hundred thirty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 71 84 92 126 138 142 161 207 213 229 252 276 284 322 414 426 458 483 497 639 644 687 828 852 916 966 994 1278 1374 1449 1491 1603 1633 1932 1988 2061 2556 2748 2898 2982 3206 3266 4122 4473 4809 4899 5267 5796 5964 6412 6532 8244 8946 9618 9798 10534 11431 14427 14697 15801 16259 17892 19236 19596 21068 22862 28854 29394 31602 32518 34293 36869 45724 47403 48777 57708 58788 63204 65036 68586 73738 94806 97554 102879 110607 113813 137172 146331 147476 189612 195108 205758 221214 227626 292662 331821 341439 373957 411516 442428 455252 585324 663642 682878 747914 1024317 1121871 1327284 1365756 1495828 2048634 2243742 2617699 3365613 4097268 4487484 5235398 6731226 7853097 10470796 13462452 15706194 23559291 31412388 47118582 94237164