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2200464260 = 2254112972069
BaseRepresentation
bin1000001100101000…
…0110101110000100
312200100120011111022
42003022012232010
514001304324020
61002203330312
7105346431461
oct20312065604
95610504438
102200464260
11a2a117405
12514b20998
13290b64a77
1416c35c668
15cd2ae625
hex83286b84

2200464260 has 48 divisors (see below), whose sum is σ = 4739621040. Its totient is φ = 857640960.

The previous prime is 2200464251. The next prime is 2200464323. The reversal of 2200464260 is 624640022.

It can be written as a sum of positive squares in 8 ways, for example, as 68425984 + 2132038276 = 8272^2 + 46174^2 .

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, 1062506 + ... + 1064574.

It is an arithmetic number, because the mean of its divisors is an integer number (98742105).

Almost surely, 22200464260 is an apocalyptic number.

2200464260 is a gapful number since it is divisible by the number (20) 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 2200464260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369810520).

2200464260 is an abundant number, since it is smaller than the sum of its proper divisors (2539156780).

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

2200464260 is a wasteful number, since it uses less digits than its factorization.

2200464260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2200464260 is about 46909.1063653956. The cubic root of 2200464260 is about 1300.6829271721.

The spelling of 2200464260 in words is "two billion, two hundred million, four hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1297 2069 2594 4138 5188 6485 8276 10345 12970 20690 25940 41380 53177 84829 106354 169658 212708 265885 339316 424145 531770 848290 1063540 1696580 2683493 5366986 10733972 13417465 26834930 53669860 110023213 220046426 440092852 550116065 1100232130 2200464260