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315050220 = 2232510316993
BaseRepresentation
bin10010110001110…
…100100011101100
3210221211012122200
4102301310203230
51121123101340
651132341500
710543611522
oct2261644354
9727735580
10315050220
11151923991
1289614890
135036a264
142dbb0312
151c9d3330
hex12c748ec

315050220 has 72 divisors (see below), whose sum is σ = 964987296. Its totient is φ = 83192832.

The previous prime is 315050213. The next prime is 315050231. The reversal of 315050220 is 22050513.

It is a happy number.

It is a super-2 number, since 2×3150502202 = 198513282244096800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 315050193 and 315050202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10044 + ... + 27036.

Almost surely, 2315050220 is an apocalyptic number.

315050220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315050220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482493648).

315050220 is an abundant number, since it is smaller than the sum of its proper divisors (649937076).

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

315050220 is a wasteful number, since it uses less digits than its factorization.

315050220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17111 (or 17106 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 315050220 is about 17749.6540811363. The cubic root of 315050220 is about 680.4453685635.

The spelling of 315050220 in words is "three hundred fifteen million, fifty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 16993 18540 33986 50979 67972 84965 101958 152937 169930 203916 254895 305874 339860 509790 611748 764685 1019580 1529370 1750279 3058740 3500558 5250837 7001116 8751395 10501674 15752511 17502790 21003348 26254185 31505022 35005580 52508370 63010044 78762555 105016740 157525110 315050220