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2164056492 = 22313210332
BaseRepresentation
bin1000000011111100…
…1110000110101100
312120211001110102110
42000333032012230
513412444301432
6554423124020
7104425114413
oct20077160654
95524043373
102164056492
11a1060a744
125048a3610
13286458300
141675a247a
15c9ebbdcc
hex80fce1ac

2164056492 has 54 divisors (see below), whose sum is σ = 5473062252. Its totient is φ = 665218944.

The previous prime is 2164056487. The next prime is 2164056511. The reversal of 2164056492 is 2946504612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2164056492.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2094408 + ... + 2095440.

Almost surely, 22164056492 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 2164056492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736531126).

2164056492 is an abundant number, since it is smaller than the sum of its proper divisors (3309005760).

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

2164056492 is a wasteful number, since it uses less digits than its factorization.

2164056492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2164056492 is about 46519.4205896849. The cubic root of 2164056492 is about 1293.4695160446.

The spelling of 2164056492 in words is "two billion, one hundred sixty-four million, fifty-six thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 1033 2028 2066 3099 4132 6198 12396 13429 26858 40287 53716 80574 161148 174577 349154 523731 698308 1047462 1067089 2094924 2134178 3201267 4268356 6402534 12805068 13872157 27744314 41616471 55488628 83232942 166465884 180338041 360676082 541014123 721352164 1082028246 2164056492