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2281890144 = 253171398217
BaseRepresentation
bin1000100000000010…
…1110000101100000
312220000210000210210
42020000232011200
514133130441034
61014232454120
7110355513642
oct21000560540
95800700723
102281890144
11a71081926
1253824a340
132a49a4171
141790b6892
15d54e58e9
hex8802e160

2281890144 has 48 divisors (see below), whose sum is σ = 6342316848. Its totient is φ = 715886592.

The previous prime is 2281890133. The next prime is 2281890157. The reversal of 2281890144 is 4410981822.

It is a tau number, because it is divible by the number of its divisors (48).

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, 697477 + ... + 700740.

It is an arithmetic number, because the mean of its divisors is an integer number (132131601).

Almost surely, 22281890144 is an apocalyptic number.

2281890144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2281890144 is an abundant number, since it is smaller than the sum of its proper divisors (4060426704).

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

2281890144 is a wasteful number, since it uses less digits than its factorization.

2281890144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398247 (or 1398239 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 2281890144 is about 47769.1337999759. The cubic root of 2281890144 is about 1316.5324785392.

The spelling of 2281890144 in words is "two billion, two hundred eighty-one million, eight hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 1398217 2796434 4194651 5592868 8389302 11185736 16778604 22371472 23769689 33557208 44742944 47539378 67114416 71309067 95078756 134228832 142618134 190157512 285236268 380315024 570472536 760630048 1140945072 2281890144