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2256739890 = 2353716312473
BaseRepresentation
bin1000011010000011…
…0001111000110010
312211021110021010220
42012200301320302
514110211134030
61011533433510
7106631654406
oct20640617062
95737407126
102256739890
11a58964099
1252b93b896
1329c709762
14175a0b106
15d31c8a10
hex86831e32

2256739890 has 64 divisors (see below), whose sum is σ = 5597133696. Its totient is φ = 581893632.

The previous prime is 2256739819. The next prime is 2256739909. The reversal of 2256739890 is 989376522.

It is a super-2 number, since 2×22567398902 = 10185749862234424200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174694 + ... + 187166.

It is an arithmetic number, because the mean of its divisors is an integer number (87455214).

Almost surely, 22256739890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256739890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798566848).

2256739890 is an abundant number, since it is smaller than the sum of its proper divisors (3340393806).

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

2256739890 is a wasteful number, since it uses less digits than its factorization.

2256739890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12683.

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 2256739890 is about 47505.1564569574. The cubic root of 2256739890 is about 1311.6778008789.

The spelling of 2256739890 in words is "two billion, two hundred fifty-six million, seven hundred thirty-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 163 185 222 326 370 489 555 815 978 1110 1630 2445 4890 6031 12062 12473 18093 24946 30155 36186 37419 60310 62365 74838 90465 124730 180930 187095 374190 461501 923002 1384503 2033099 2307505 2769006 4066198 4615010 6099297 6922515 10165495 12198594 13845030 20330990 30496485 60992970 75224663 150449326 225673989 376123315 451347978 752246630 1128369945 2256739890