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2255786192 = 2411431272347
BaseRepresentation
bin1000011001110100…
…1001000011010000
312211012122210220202
42012131021003100
514104440124232
61011501154332
7106620603062
oct20635110320
95735583822
102255786192
11a58372610
1252b55b9a8
1329c46463a
1417583d732
15d308b162
hex867490d0

2255786192 has 80 divisors (see below), whose sum is σ = 4919304192. Its totient is φ = 993202560.

The previous prime is 2255786189. The next prime is 2255786231. The reversal of 2255786192 is 2916875522.

It is a happy number.

It is a congruent number.

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, 959963 + ... + 962309.

Almost surely, 22255786192 is an apocalyptic number.

2255786192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255786192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459652096).

2255786192 is an abundant number, since it is smaller than the sum of its proper divisors (2663518000).

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

2255786192 is a wasteful number, since it uses less digits than its factorization.

2255786192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2530 counting only the distinct ones).

The product of its digits is 604800, while the sum is 47.

The square root of 2255786192 is about 47495.1175595976. The cubic root of 2255786192 is about 1311.4930032189.

The spelling of 2255786192 in words is "two billion, two hundred fifty-five million, seven hundred eighty-six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 127 172 176 254 344 473 508 688 946 1016 1397 1892 2032 2347 2794 3784 4694 5461 5588 7568 9388 10922 11176 18776 21844 22352 25817 37552 43688 51634 60071 87376 100921 103268 120142 201842 206536 240284 298069 403684 413072 480568 596138 807368 961136 1110131 1192276 1614736 2220262 2384552 3278759 4440524 4769104 6557518 8881048 12816967 13115036 17762096 25633934 26230072 51267868 52460144 102535736 140986637 205071472 281973274 563946548 1127893096 2255786192