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2290704384 = 2133831123
BaseRepresentation
bin1000100010001001…
…0110000000000000
312220122100211200010
42020202112000000
514142410020014
61015145424520
7110523444303
oct21042260000
95818324603
102290704384
11a76052121
1253b19b140
132a676c0a7
1417a32cb3a
15d6187359
hex88896000

2290704384 has 112 divisors (see below), whose sum is σ = 6187269312. Its totient is φ = 753696768.

The previous prime is 2290704347. The next prime is 2290704419. The reversal of 2290704384 is 4834070922.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2039247 + ... + 2040369.

It is an arithmetic number, because the mean of its divisors is an integer number (55243476).

Almost surely, 22290704384 is an apocalyptic number.

2290704384 is a gapful number since it is divisible by the number (24) 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 2290704384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093634656).

2290704384 is an abundant number, since it is smaller than the sum of its proper divisors (3896564928).

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

2290704384 is an equidigital number, since it uses as much as digits as its factorization.

2290704384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2290704384 is about 47861.3036178498. The cubic root of 2290704384 is about 1318.2254206892.

The spelling of 2290704384 in words is "two billion, two hundred ninety million, seven hundred four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 512 664 768 996 1024 1123 1328 1536 1992 2048 2246 2656 3072 3369 3984 4096 4492 5312 6144 6738 7968 8192 8984 10624 12288 13476 15936 17968 21248 24576 26952 31872 35936 42496 53904 63744 71872 84992 93209 107808 127488 143744 169984 186418 215616 254976 279627 287488 339968 372836 431232 509952 559254 574976 679936 745672 862464 1019904 1118508 1149952 1491344 1724928 2039808 2237016 2299904 2982688 3449856 4474032 4599808 5965376 6899712 8948064 9199616 11930752 13799424 17896128 23861504 27598848 35792256 47723008 71584512 95446016 143169024 190892032 286338048 381784064 572676096 763568128 1145352192 2290704384