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2242400664 = 233713347623
BaseRepresentation
bin1000010110101000…
…0101000110011000
312210021110202102110
42011222011012120
514043023310124
61010302232320
7106366043160
oct20552050630
95707422373
102242400664
11a5085a899
12526b856a0
13299758aca
14173b575a0
15d1ce5029
hex85a85198

2242400664 has 32 divisors (see below), whose sum is σ = 6406859520. Its totient is φ = 640685856.

The previous prime is 2242400627. The next prime is 2242400731. The reversal of 2242400664 is 4660042422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6673644 + ... + 6673979.

It is an arithmetic number, because the mean of its divisors is an integer number (200214360).

Almost surely, 22242400664 is an apocalyptic number.

2242400664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2242400664 is an abundant number, since it is smaller than the sum of its proper divisors (4164458856).

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

2242400664 is a wasteful number, since it uses less digits than its factorization.

2242400664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13347639 (or 13347635 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2242400664 is about 47353.9931156814. The cubic root of 2242400664 is about 1308.8937816635.

The spelling of 2242400664 in words is "two billion, two hundred forty-two million, four hundred thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 13347623 26695246 40042869 53390492 80085738 93433361 106780984 160171476 186866722 280300083 320342952 373733444 560600166 747466888 1121200332 2242400664