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152830224 = 24321983673
BaseRepresentation
bin10010001110000…
…00000100010000
3101122120120122200
421013000010100
5303111031344
623055403200
73534015111
oct1107000420
9348516580
10152830224
11792a5678
1243223500
13258801b1
1416424208
15d63d069
hex91c0110

152830224 has 120 divisors (see below), whose sum is σ = 456324960. Its totient is φ = 47609856.

The previous prime is 152830211. The next prime is 152830231. The reversal of 152830224 is 422038251.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226752 + ... + 227424.

It is an arithmetic number, because the mean of its divisors is an integer number (3802708).

Almost surely, 2152830224 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 152830224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228162480).

152830224 is an abundant number, since it is smaller than the sum of its proper divisors (303494736).

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

152830224 is a wasteful number, since it uses less digits than its factorization.

152830224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 152830224 is about 12362.4521839318. The cubic root of 152830224 is about 534.6502200220.

Adding to 152830224 its reverse (422038251), we get a palindrome (574868475).

The spelling of 152830224 in words is "one hundred fifty-two million, eight hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 83 114 144 152 166 171 228 249 304 332 342 456 498 664 673 684 747 912 996 1328 1346 1368 1494 1577 1992 2019 2692 2736 2988 3154 3984 4038 4731 5384 5976 6057 6308 8076 9462 10768 11952 12114 12616 12787 14193 16152 18924 24228 25232 25574 28386 32304 37848 38361 48456 51148 55859 56772 75696 76722 96912 102296 111718 113544 115083 153444 167577 204592 223436 227088 230166 306888 335154 446872 460332 502731 613776 670308 893744 920664 1005462 1061321 1340616 1841328 2010924 2122642 2681232 3183963 4021848 4245284 6367926 8043696 8490568 9551889 12735852 16981136 19103778 25471704 38207556 50943408 76415112 152830224