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152230356 = 223219457487
BaseRepresentation
bin10010001001011…
…01100111010100
3101121110002210100
421010231213110
5302432332411
623034454100
73525636165
oct1104554724
9347402710
10152230356
1178a25a13
1242b94330
1325700145
141630976c
15d570456
hex912d9d4

152230356 has 72 divisors (see below), whose sum is σ = 406777280. Its totient is φ = 47869056.

The previous prime is 152230349. The next prime is 152230361. The reversal of 152230356 is 653032251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312345 + ... + 312831.

Almost surely, 2152230356 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 152230356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203388640).

152230356 is an abundant number, since it is smaller than the sum of its proper divisors (254546924).

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

152230356 is a wasteful number, since it uses less digits than its factorization.

152230356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 152230356 is about 12338.1666385245. The cubic root of 152230356 is about 533.9497911805.

It can be divided in two parts, 1522 and 30356, that added together give a triangular number (31878 = T252).

The spelling of 152230356 in words is "one hundred fifty-two million, two hundred thirty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 457 487 684 914 974 1371 1461 1828 1948 2742 2922 4113 4383 5484 5844 8226 8683 8766 9253 16452 17366 17532 18506 26049 27759 34732 37012 52098 55518 78147 83277 104196 111036 156294 166554 222559 312588 333108 445118 667677 890236 1335354 2003031 2670708 4006062 4228621 8012124 8457242 12685863 16914484 25371726 38057589 50743452 76115178 152230356