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152004224 = 279711223
BaseRepresentation
bin10010000111101…
…10011010000000
3101121000121121002
421003312122000
5302403113344
623025551132
73524005001
oct1103663200
9347017532
10152004224
1178891029
1242aa54a8
1325651238
141628b1a8
15d52844e
hex90f6680

152004224 has 32 divisors (see below), whose sum is σ = 303380640. Its totient is φ = 75861760.

The previous prime is 152004211. The next prime is 152004227. The reversal of 152004224 is 422400251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1520042242 = 46210568227684352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152004196 and 152004205.

It is not an unprimeable number, because it can be changed into a prime (152004227) 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 3 ways as a sum of consecutive naturals, for example, 123677 + ... + 124899.

It is an arithmetic number, because the mean of its divisors is an integer number (9480645).

Almost surely, 2152004224 is an apocalyptic number.

It is an amenable number.

152004224 is a deficient number, since it is larger than the sum of its proper divisors (151376416).

152004224 is an equidigital number, since it uses as much as digits as its factorization.

152004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 152004224 is about 12328.9993105686. Note that the first 3 decimals coincide. The cubic root of 152004224 is about 533.6852732638.

Adding to 152004224 its reverse (422400251), we get a palindrome (574404475).

The spelling of 152004224 in words is "one hundred fifty-two million, four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 971 1223 1942 2446 3884 4892 7768 9784 15536 19568 31072 39136 62144 78272 124288 156544 1187533 2375066 4750132 9500264 19000528 38001056 76002112 152004224