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2288045892 = 22311193129429
BaseRepresentation
bin1000100001100000…
…1100111101000100
312220110100202220110
42020120030331010
514141214432032
61015012433020
7110462032506
oct21030147504
95813322813
102288045892
11a745a6820
1253a318770
132a604b012
14179c39d76
15d5d0e7cc
hex8860cf44

2288045892 has 96 divisors (see below), whose sum is σ = 6328627200. Its totient is φ = 635644800.

The previous prime is 2288045891. The next prime is 2288045939. The reversal of 2288045892 is 2985408822.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2288045891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63034 + ... + 92462.

It is an arithmetic number, because the mean of its divisors is an integer number (65923200).

Almost surely, 22288045892 is an apocalyptic number.

2288045892 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 2288045892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164313600).

2288045892 is an abundant number, since it is smaller than the sum of its proper divisors (4040581308).

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

2288045892 is a wasteful number, since it uses less digits than its factorization.

2288045892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29497 (or 29495 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 2288045892 is about 47833.5226802292. The cubic root of 2288045892 is about 1317.7152648969.

The spelling of 2288045892 in words is "two billion, two hundred eighty-eight million, forty-five thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 19 22 31 33 38 44 57 62 66 76 93 114 124 132 186 209 228 341 372 418 589 627 682 836 1023 1178 1254 1364 1767 2046 2356 2508 3534 4092 6479 7068 12958 19437 25916 29429 38874 58858 77748 88287 117716 176574 323719 353148 559151 647438 912299 971157 1118302 1294876 1677453 1824598 1942314 2236604 2736897 3354906 3649196 3884628 5473794 6150661 6709812 10035289 10947588 12301322 17333681 18451983 20070578 24602644 30105867 34667362 36903966 40141156 52001043 60211734 69334724 73807932 104002086 120423468 190670491 208004172 381340982 572011473 762681964 1144022946 2288045892