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2206762020 = 2232570117489
BaseRepresentation
bin1000001110001000…
…1000010000100100
312200210102010101200
42003202020100210
514004412341040
61002550322500
7105454111341
oct20342102044
95623363350
102206762020
11a32728a71
12517059430
1329225b458
1416d11b7c8
15cdb05630
hex83888424

2206762020 has 72 divisors (see below), whose sum is σ = 6703777080. Its totient is φ = 587596800.

The previous prime is 2206762009. The next prime is 2206762039. The reversal of 2206762020 is 202676022.

It can be written as a sum of positive squares in 4 ways, for example, as 47858724 + 2158903296 = 6918^2 + 46464^2 .

It is a super-2 number, since 2×22067620202 = 9739597225828960800, which contains 22 as substring.

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, 117436 + ... + 134924.

It is an arithmetic number, because the mean of its divisors is an integer number (93108015).

Almost surely, 22206762020 is an apocalyptic number.

2206762020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2206762020 is an abundant number, since it is smaller than the sum of its proper divisors (4497015060).

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

2206762020 is a wasteful number, since it uses less digits than its factorization.

2206762020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18205 (or 18200 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2206762020 is about 46976.1856689110. The cubic root of 2206762020 is about 1301.9226029438.

The spelling of 2206762020 in words is "two billion, two hundred six million, seven hundred sixty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 701 1402 2103 2804 3505 4206 6309 7010 8412 10515 12618 14020 17489 21030 25236 31545 34978 42060 52467 63090 69956 87445 104934 126180 157401 174890 209868 262335 314802 349780 524670 629604 787005 1049340 1574010 3148020 12259789 24519578 36779367 49039156 61298945 73558734 110338101 122597890 147117468 183896835 220676202 245195780 367793670 441352404 551690505 735587340 1103381010 2206762020