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2291147144 = 2311136533067
BaseRepresentation
bin1000100010010000…
…0010000110001000
312220200012100000122
42020210002012020
514143013202034
61015203122412
7110530300166
oct21044020610
95820170018
102291147144
11a76324840
1253b373408
132a6895790
1417a406236
15d622362e
hex88902188

2291147144 has 64 divisors (see below), whose sum is σ = 5056309440. Its totient is φ = 959535360.

The previous prime is 2291147119. The next prime is 2291147153. The reversal of 2291147144 is 4417411922.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745499 + ... + 748565.

It is an arithmetic number, because the mean of its divisors is an integer number (79004835).

Almost surely, 22291147144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2291147144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528154720).

2291147144 is an abundant number, since it is smaller than the sum of its proper divisors (2765162296).

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

2291147144 is a wasteful number, since it uses less digits than its factorization.

2291147144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3746 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 2291147144 is about 47865.9288429672. The cubic root of 2291147144 is about 1318.3103465154.

The spelling of 2291147144 in words is "two billion, two hundred ninety-one million, one hundred forty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 653 1144 1306 2612 3067 5224 6134 7183 8489 12268 14366 16978 24536 28732 33737 33956 39871 57464 67474 67912 79742 93379 134948 159484 186758 269896 318968 373516 438581 747032 877162 1754324 2002751 3508648 4005502 8011004 16022008 22030261 26035763 44060522 52071526 88121044 104143052 176242088 208286104 286393393 572786786 1145573572 2291147144