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23142133224 = 2332753518581
BaseRepresentation
bin10101100011011000…
…001110110111101000
32012201211000011201100
4111203120032313220
5334343341230344
614344212121400
71446324613110
oct254330166750
965654004640
1023142133224
1198a6149241
12459a306260
13224a665472
14119772a040
15906a38569
hex56360ede8

23142133224 has 96 divisors (see below), whose sum is σ = 71652147840. Its totient is φ = 6610032000.

The previous prime is 23142133177. The next prime is 23142133243. The reversal of 23142133224 is 42233124132.

23142133224 is a `hidden beast` number, since 2 + 314 + 21 + 3 + 322 + 4 = 666.

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

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, 2692614 + ... + 2701194.

It is an arithmetic number, because the mean of its divisors is an integer number (746376540).

Almost surely, 223142133224 is an apocalyptic number.

23142133224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23142133224 is an abundant number, since it is smaller than the sum of its proper divisors (48510014616).

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

23142133224 is a wasteful number, since it uses less digits than its factorization.

23142133224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13951 (or 13944 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 23142133224 its reverse (42233124132), we get a palindrome (65375257356).

The spelling of 23142133224 in words is "twenty-three billion, one hundred forty-two million, one hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 5351 8581 10702 16053 17162 21404 25743 32106 34324 37457 42808 48159 51486 60067 64212 68648 74914 77229 96318 102972 112371 120134 128424 149828 154458 180201 192636 205944 224742 240268 299656 308916 337113 360402 385272 449484 480536 540603 617832 674226 720804 898968 1081206 1348452 1441608 2162412 2696904 4324824 45916931 91833862 137750793 183667724 275501586 321418517 367335448 413252379 551003172 642837034 826504758 964255551 1102006344 1285674068 1653009516 1928511102 2571348136 2892766653 3306019032 3857022204 5785533306 7714044408 11571066612 23142133224