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314202020 = 225115326947
BaseRepresentation
bin10010101110100…
…101011110100100
3210220020010010212
4102232211132210
51120413431040
651102234552
710533446606
oct2256453644
9726203125
10314202020
111513a46a0
1289285a58
1350131172
142da2d176
151c8b6d65
hex12ba57a4

314202020 has 48 divisors (see below), whose sum is σ = 733416768. Its totient is φ = 112095360.

The previous prime is 314201981. The next prime is 314202023. The reversal of 314202020 is 20202413.

It is a junction number, because it is equal to n+sod(n) for n = 314201986 and 314202004.

It is not an unprimeable number, because it can be changed into a prime (314202023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1814 + ... + 25133.

It is an arithmetic number, because the mean of its divisors is an integer number (15279516).

Almost surely, 2314202020 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 314202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366708384).

314202020 is an abundant number, since it is smaller than the sum of its proper divisors (419214748).

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

314202020 is a wasteful number, since it uses less digits than its factorization.

314202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27020 (or 27018 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 314202020 is about 17725.7445541788. The cubic root of 314202020 is about 679.8341723666.

Adding to 314202020 its reverse (20202413), we get a palindrome (334404433).

The spelling of 314202020 in words is "three hundred fourteen million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11660 26947 53894 107788 134735 269470 296417 538940 592834 1185668 1428191 1482085 2856382 2964170 5712764 5928340 7140955 14281910 15710101 28563820 31420202 62840404 78550505 157101010 314202020