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2292481016 = 237436115607
BaseRepresentation
bin1000100010100100…
…0111101111111000
312220202201002202022
42020221013233320
514143333343031
61015251454012
7110544524060
oct21051075770
95822632668
102292481016
11a77055a11
1253b8b7308
132a6c41957
1417a6723a0
15d63d897b
hex88a47bf8

2292481016 has 64 divisors (see below), whose sum is σ = 5109434880. Its totient is φ = 943850880.

The previous prime is 2292481007. The next prime is 2292481057. The reversal of 2292481016 is 6101842922.

2292481016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 139085 + ... + 154691.

It is an arithmetic number, because the mean of its divisors is an integer number (79834920).

Almost surely, 22292481016 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 2292481016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554717440).

2292481016 is an abundant number, since it is smaller than the sum of its proper divisors (2816953864).

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

2292481016 is a wasteful number, since it uses less digits than its factorization.

2292481016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15724 (or 15720 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 2292481016 is about 47879.8602337141. The cubic root of 2292481016 is about 1318.5661304829.

The spelling of 2292481016 in words is "two billion, two hundred ninety-two million, four hundred eighty-one thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 43 56 61 86 122 172 244 301 344 427 488 602 854 1204 1708 2408 2623 3416 5246 10492 15607 18361 20984 31214 36722 62428 73444 109249 124856 146888 218498 436996 671101 873992 952027 1342202 1904054 2684404 3808108 4697707 5368808 6664189 7616216 9395414 13328378 18790828 26656756 37581656 40937161 53313512 81874322 163748644 286560127 327497288 573120254 1146240508 2292481016