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2164630704 = 24359839209
BaseRepresentation
bin1000000100000101…
…1010010010110000
312120212010122002120
42001001122102300
513413121140304
6554443314240
7104433025455
oct20101322260
95525118076
102164630704
11a109720a5
12504b1b980
132865c9792
141676b182c
15ca0820d9
hex8105a4b0

2164630704 has 80 divisors (see below), whose sum is σ = 5755881600. Its totient is φ = 700691968.

The previous prime is 2164630703. The next prime is 2164630729. The reversal of 2164630704 is 4070364612.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2164630703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230452 + ... + 239660.

It is an arithmetic number, because the mean of its divisors is an integer number (71948520).

Almost surely, 22164630704 is an apocalyptic number.

2164630704 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 2164630704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877940800).

2164630704 is an abundant number, since it is smaller than the sum of its proper divisors (3591250896).

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

2164630704 is a wasteful number, since it uses less digits than its factorization.

2164630704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9362 (or 9356 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2164630704 is about 46525.5919253049. The cubic root of 2164630704 is about 1293.5839092438.

The spelling of 2164630704 in words is "two billion, one hundred sixty-four million, six hundred thirty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 83 118 166 177 236 249 332 354 472 498 664 708 944 996 1328 1416 1992 2832 3984 4897 9209 9794 14691 18418 19588 27627 29382 36836 39176 55254 58764 73672 78352 110508 117528 147344 221016 235056 442032 543331 764347 1086662 1528694 1629993 2173324 2293041 3057388 3259986 4346648 4586082 6114776 6519972 8693296 9172164 12229552 13039944 18344328 26079888 36688656 45096473 90192946 135289419 180385892 270578838 360771784 541157676 721543568 1082315352 2164630704