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152042022 = 23411412081
BaseRepresentation
bin10010000111111…
…11101000100110
3101121002112110000
421003333220212
5302410321042
623030442130
73524223126
oct1103775046
9347075400
10152042022
1178907470
1242b03346
13256654c2
141629ac86
15d53474c
hex90ffa26

152042022 has 80 divisors (see below), whose sum is σ = 380906064. Its totient is φ = 44928000.

The previous prime is 152041979. The next prime is 152042081. The reversal of 152042022 is 220240251.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 152041986 and 152042004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72022 + ... + 74102.

Almost surely, 2152042022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152042022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190453032).

152042022 is an abundant number, since it is smaller than the sum of its proper divisors (228864042).

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

152042022 is a wasteful number, since it uses less digits than its factorization.

152042022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 152042022 is about 12330.5321053067. The cubic root of 152042022 is about 533.7295057279.

Adding to 152042022 its reverse (220240251), we get a palindrome (372282273).

The spelling of 152042022 in words is "one hundred fifty-two million, forty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 81 82 99 123 162 198 246 297 369 451 594 738 891 902 1107 1353 1782 2081 2214 2706 3321 4059 4162 6243 6642 8118 12177 12486 18729 22891 24354 36531 37458 45782 56187 68673 73062 85321 112374 137346 168561 170642 206019 255963 337122 412038 511926 618057 767889 938531 1236114 1535778 1854171 1877062 2303667 2815593 3708342 4607334 5631186 6911001 8446779 13822002 16893558 25340337 50680674 76021011 152042022