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2293385408 = 26177432837
BaseRepresentation
bin1000100010110010…
…0100100011000000
312220211102001100022
42020230210203000
514144101313113
61015323113012
7110555311556
oct21054444300
95824361308
102293385408
11a77613446
12540072768
132a719a4b2
1417a829bd6
15d6516908
hex88b248c0

2293385408 has 56 divisors (see below), whose sum is σ = 4826824992. Its totient is φ = 1077407744.

The previous prime is 2293385383. The next prime is 2293385417. The reversal of 2293385408 is 8045833922.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

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, 806966 + ... + 809802.

Almost surely, 22293385408 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 2293385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413412496).

2293385408 is an abundant number, since it is smaller than the sum of its proper divisors (2533439584).

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

2293385408 is a wasteful number, since it uses less digits than its factorization.

2293385408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 2293385408 is about 47889.3036909078. The cubic root of 2293385408 is about 1318.7395007123.

The spelling of 2293385408 in words is "two billion, two hundred ninety-three million, three hundred eighty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 743 1088 1486 2837 2972 5674 5944 11348 11888 12631 22696 23776 25262 45392 47552 48229 50524 90784 96458 101048 181568 192916 202096 385832 404192 771664 808384 1543328 2107891 3086656 4215782 8431564 16863128 33726256 35834147 67452512 71668294 134905024 143336588 286673176 573346352 1146692704 2293385408