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152023014 = 233111319687
BaseRepresentation
bin10010000111110…
…10111111100110
3101121001120101000
421003322333212
5302404214024
623030214130
73524113533
oct1103727746
9347046330
10152023014
11788a4160
1242ab4346
1325659960
1416293d8a
15d52dcc9
hex90fafe6

152023014 has 64 divisors (see below), whose sum is σ = 396910080. Its totient is φ = 42521760.

The previous prime is 152022989. The next prime is 152023033. The reversal of 152023014 is 410320251.

It is a super-2 number, since 2×1520230142 = 46221993571288392, which contains 22 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2122 + ... + 17565.

It is an arithmetic number, because the mean of its divisors is an integer number (6201720).

Almost surely, 2152023014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152023014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198455040).

152023014 is an abundant number, since it is smaller than the sum of its proper divisors (244887066).

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

152023014 is a wasteful number, since it uses less digits than its factorization.

152023014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19722 (or 19716 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 152023014 is about 12329.7613115583. The cubic root of 152023014 is about 533.7072628569.

Adding to 152023014 its reverse (410320251), we get a palindrome (562343265).

The spelling of 152023014 in words is "one hundred fifty-two million, twenty-three thousand, fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 1287 2574 3861 7722 19687 39374 59061 118122 177183 216557 255931 354366 433114 511862 531549 649671 767793 1063098 1299342 1535586 1949013 2303379 2815241 3898026 4606758 5630482 5847039 6910137 8445723 11694078 13820274 16891446 25337169 50674338 76011507 152023014