Search a number
-
+
151232058 = 232192291931
BaseRepresentation
bin10010000001110…
…01111000111010
3101112120101101100
421000321320322
5302203411213
623001232230
73514310535
oct1100717072
9345511340
10151232058
117840397a
1242792676
1325440933
1416129a1c
15d424773
hex9039e3a

151232058 has 48 divisors (see below), whose sum is σ = 346600800. Its totient is φ = 47524320.

The previous prime is 151232057. The next prime is 151232063. The reversal of 151232058 is 850232151.

It is a happy number.

It is a super-2 number, since 2×1512320582 = 45742270733830728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151232057) by changing a digit.

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, 77353 + ... + 79283.

It is an arithmetic number, because the mean of its divisors is an integer number (7220850).

Almost surely, 2151232058 is an apocalyptic number.

151232058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151232058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173300400).

151232058 is an abundant number, since it is smaller than the sum of its proper divisors (195368742).

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

151232058 is a wasteful number, since it uses less digits than its factorization.

151232058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 151232058 is about 12297.6444085849. The cubic root of 151232058 is about 532.7800497427.

The spelling of 151232058 in words is "one hundred fifty-one million, two hundred thirty-two thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 229 342 458 687 1374 1931 2061 3862 4122 4351 5793 8702 11586 13053 17379 26106 34758 36689 39159 73378 78318 110067 220134 330201 442199 660402 884398 1326597 2653194 3979791 7959582 8401781 16803562 25205343 50410686 75616029 151232058