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2242709680 = 24546160811
BaseRepresentation
bin1000010110101101…
…0000100010110000
312210022001110022111
42011223100202300
514043113202210
61010313015104
7106401501121
oct20553204260
95708043274
102242709680
11a50a50a82
125270b4494
13299836663
14173bd8048
15d1d5688a
hex85ad08b0

2242709680 has 40 divisors (see below), whose sum is σ = 5225696784. Its totient is φ = 895123200.

The previous prime is 2242709671. The next prime is 2242709701. The reversal of 2242709680 is 869072422.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 6475 + ... + 67285.

Almost surely, 22242709680 is an apocalyptic number.

2242709680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242709680 is an abundant number, since it is smaller than the sum of its proper divisors (2982987104).

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

2242709680 is a wasteful number, since it uses less digits than its factorization.

2242709680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61285 (or 61279 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 2242709680 is about 47357.2558326599. The cubic root of 2242709680 is about 1308.9539033223.

The spelling of 2242709680 in words is "two billion, two hundred forty-two million, seven hundred nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 461 922 1844 2305 3688 4610 7376 9220 18440 36880 60811 121622 243244 304055 486488 608110 972976 1216220 2432440 4864880 28033871 56067742 112135484 140169355 224270968 280338710 448541936 560677420 1121354840 2242709680