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30192264 = 233631167
BaseRepresentation
bin111001100101…
…1001010001000
32002210221000000
41303023022020
530212123024
62555043000
7514426044
oct163131210
962727000
1030192264
1116051993
12a140460
13634165b
14401d024
1529b5cc9
hex1ccb288

30192264 has 112 divisors (see below), whose sum is σ = 88139520. Its totient is φ = 9681120.

The previous prime is 30192263. The next prime is 30192269. The reversal of 30192264 is 46229103.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30192263) 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 27 ways as a sum of consecutive naturals, for example, 180709 + ... + 180875.

It is an arithmetic number, because the mean of its divisors is an integer number (786960).

Almost surely, 230192264 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 30192264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44069760).

30192264 is an abundant number, since it is smaller than the sum of its proper divisors (57947256).

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

30192264 is a wasteful number, since it uses less digits than its factorization.

30192264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30192264 is about 5494.7487658673. The cubic root of 30192264 is about 311.3856253179.

The spelling of 30192264 in words is "thirty million, one hundred ninety-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 167 186 216 243 248 279 324 334 372 486 501 558 648 668 729 744 837 972 1002 1116 1336 1458 1503 1674 1944 2004 2232 2511 2916 3006 3348 4008 4509 5022 5177 5832 6012 6696 7533 9018 10044 10354 12024 13527 15066 15531 18036 20088 20708 22599 27054 30132 31062 36072 40581 41416 45198 46593 54108 60264 62124 81162 90396 93186 108216 121743 124248 139779 162324 180792 186372 243486 279558 324648 372744 419337 486972 559116 838674 973944 1118232 1258011 1677348 2516022 3354696 3774033 5032044 7548066 10064088 15096132 30192264