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2225651661 = 34299191031
BaseRepresentation
bin1000010010101000…
…1011111111001101
312202002221211010000
42010222023333031
514024231323121
61004503234513
7106103504232
oct20452137715
95662854100
102225651661
11a42360042
12521448a39
1329614335c
14171837789
15d05d7526
hex84a8bfcd

2225651661 has 40 divisors (see below), whose sum is σ = 3446467200. Its totient is φ = 1429656480.

The previous prime is 2225651653. The next prime is 2225651669. The reversal of 2225651661 is 1661565222.

2225651661 is a `hidden beast` number, since 2 + 22 + 565 + 16 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (2225651653) and next prime (2225651669).

It is not a de Polignac number, because 2225651661 - 23 = 2225651653 is a prime.

It is a super-2 number, since 2×22256516612 = 9907050632224117842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225651669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2158216 + ... + 2159246.

It is an arithmetic number, because the mean of its divisors is an integer number (86161680).

Almost surely, 22225651661 is an apocalyptic number.

It is an amenable number.

2225651661 is a deficient number, since it is larger than the sum of its proper divisors (1220815539).

2225651661 is a wasteful number, since it uses less digits than its factorization.

2225651661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1982 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 2225651661 is about 47176.8127473656. The cubic root of 2225651661 is about 1305.6268253081.

The spelling of 2225651661 in words is "two billion, two hundred twenty-five million, six hundred fifty-one thousand, six hundred sixty-one".

Divisors: 1 3 9 27 29 81 87 261 783 919 1031 2349 2757 3093 8271 9279 24813 26651 27837 29899 74439 79953 83511 89697 239859 269091 719577 807273 947489 2158731 2421819 2842467 8527401 25582203 27477181 76746609 82431543 247294629 741883887 2225651661