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470212260 = 223572933821
BaseRepresentation
bin11100000001101…
…101111010100100
31012202210020221220
4130001231322210
51430333243020
6114354140340
714436511140
oct3401557244
91182706856
10470212260
11221471481
121115816b0
137655590b
1446640220
152b432240
hex1c06dea4

470212260 has 96 divisors (see below), whose sum is σ = 1510209792. Its totient is φ = 107082240.

The previous prime is 470212189. The next prime is 470212261. The reversal of 470212260 is 62212074.

It is a self number, because there is not a number n which added to its sum of digits gives 470212260.

It is not an unprimeable number, because it can be changed into a prime (470212261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121150 + ... + 124970.

It is an arithmetic number, because the mean of its divisors is an integer number (15731352).

Almost surely, 2470212260 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 470212260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755104896).

470212260 is an abundant number, since it is smaller than the sum of its proper divisors (1039997532).

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

470212260 is a wasteful number, since it uses less digits than its factorization.

470212260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 470212260 is about 21684.3782479461. The cubic root of 470212260 is about 777.6150358974.

The spelling of 470212260 in words is "four hundred seventy million, two hundred twelve thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 293 420 586 879 1172 1465 1758 2051 2930 3516 3821 4102 4395 5860 6153 7642 8204 8790 10255 11463 12306 15284 17580 19105 20510 22926 24612 26747 30765 38210 41020 45852 53494 57315 61530 76420 80241 106988 114630 123060 133735 160482 229260 267470 320964 401205 534940 802410 1119553 1604820 2239106 3358659 4478212 5597765 6717318 7836871 11195530 13434636 15673742 16793295 22391060 23510613 31347484 33586590 39184355 47021226 67173180 78368710 94042452 117553065 156737420 235106130 470212260