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2225664440 = 23570978479
BaseRepresentation
bin1000010010101000…
…1111000110111000
312202002222110122022
42010222033012320
514024232230230
61004503414012
7106103556416
oct20452170670
95662873568
102225664440
11a423696aa
12521454308
1329614910c
1417183c2b6
15d05db1e5
hex84a8f1b8

2225664440 has 32 divisors (see below), whose sum is σ = 5014872000. Its totient is φ = 888998784.

The previous prime is 2225664407. The next prime is 2225664443. The reversal of 2225664440 is 444665222.

It is a self number, because there is not a number n which added to its sum of digits gives 2225664440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225664443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10880 + ... + 67599.

It is an arithmetic number, because the mean of its divisors is an integer number (156714750).

Almost surely, 22225664440 is an apocalyptic number.

2225664440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225664440 is an abundant number, since it is smaller than the sum of its proper divisors (2789207560).

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

2225664440 is a wasteful number, since it uses less digits than its factorization.

2225664440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79199 (or 79195 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The square root of 2225664440 is about 47176.9481844682. The cubic root of 2225664440 is about 1305.6293241378.

The spelling of 2225664440 in words is "two billion, two hundred twenty-five million, six hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 709 1418 2836 3545 5672 7090 14180 28360 78479 156958 313916 392395 627832 784790 1569580 3139160 55641611 111283222 222566444 278208055 445132888 556416110 1112832220 2225664440