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315194088 = 233113313607
BaseRepresentation
bin10010110010010…
…111101011101000
3210222002112000010
4102302113223220
51121142202323
651135411520
710545051126
oct2262275350
9728075003
10315194088
11151a11a90
1289683ba0
13503ba8a1
142dc0a916
151ca10c93
hex12c97ae8

315194088 has 64 divisors (see below), whose sum is σ = 862456320. Its totient is φ = 95198400.

The previous prime is 315194041. The next prime is 315194141. The reversal of 315194088 is 880491513.

It is a super-2 number, since 2×3151940882 = 198694626220303488, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85581 + ... + 89187.

It is an arithmetic number, because the mean of its divisors is an integer number (13475880).

Almost surely, 2315194088 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 315194088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431228160).

315194088 is an abundant number, since it is smaller than the sum of its proper divisors (547262232).

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

315194088 is a wasteful number, since it uses less digits than its factorization.

315194088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 315194088 is about 17753.7063172736. The cubic root of 315194088 is about 680.5489281556.

The spelling of 315194088 in words is "three hundred fifteen million, one hundred ninety-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 331 662 993 1324 1986 2648 3607 3641 3972 7214 7282 7944 10821 10923 14428 14564 21642 21846 28856 29128 39677 43284 43692 79354 86568 87384 119031 158708 238062 317416 476124 952248 1193917 2387834 3581751 4775668 7163502 9551336 13133087 14327004 26266174 28654008 39399261 52532348 78798522 105064696 157597044 315194088