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152142224 = 24133753373
BaseRepresentation
bin10010001000110…
…00000110010000
3101121021121220012
421010120012100
5302422022344
623032534052
73525121223
oct1104300620
9347247805
10152142224
1178975783
1242b51328
132569bcb0
14162c55ba
15d55429e
hex9118190

152142224 has 80 divisors (see below), whose sum is σ = 333072432. Its totient is φ = 66852864.

The previous prime is 152142223. The next prime is 152142233. The reversal of 152142224 is 422241251.

It can be written as a sum of positive squares in 8 ways, for example, as 4276624 + 147865600 = 2068^2 + 12160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 152142224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152142223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407702 + ... + 408074.

Almost surely, 2152142224 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 152142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166536216).

152142224 is an abundant number, since it is smaller than the sum of its proper divisors (180930208).

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

152142224 is a wasteful number, since it uses less digits than its factorization.

152142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its digits is 1280, while the sum is 23.

The square root of 152142224 is about 12334.5946021748. The cubic root of 152142224 is about 533.8467299418.

Adding to 152142224 its reverse (422241251), we get a palindrome (574383475).

The spelling of 152142224 in words is "one hundred fifty-two million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 37 52 53 74 104 106 148 208 212 296 373 424 481 592 689 746 848 962 1378 1492 1924 1961 2756 2984 3848 3922 4849 5512 5968 7696 7844 9698 11024 13801 15688 19396 19769 25493 27602 31376 38792 39538 50986 55204 77584 79076 101972 110408 158152 179413 203944 220816 256997 316304 358826 407888 513994 717652 731453 1027988 1435304 1462906 2055976 2870608 2925812 4111952 5851624 9508889 11703248 19017778 38035556 76071112 152142224