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2326680090 = 232577350591
BaseRepresentation
bin1000101010101110…
…0101001000011010
320000011001121001200
42022223211020122
514231112230330
61022512455030
7111441311610
oct21253451032
96004047050
102326680090
11a94394209
1254b24a476
132b1056ca7
141810156b0
15d93e1a60
hex8aae521a

2326680090 has 96 divisors (see below), whose sum is σ = 7008408576. Its totient is φ = 524517120.

The previous prime is 2326680079. The next prime is 2326680091. The reversal of 2326680090 is 900866232.

It is not an unprimeable number, because it can be changed into a prime (2326680091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20695 + ... + 71285.

It is an arithmetic number, because the mean of its divisors is an integer number (73004256).

Almost surely, 22326680090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2326680090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504204288).

2326680090 is an abundant number, since it is smaller than the sum of its proper divisors (4681728486).

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

2326680090 is a wasteful number, since it uses less digits than its factorization.

2326680090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50684 (or 50681 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2326680090 is about 48235.6723805111. The cubic root of 2326680090 is about 1325.0905532037.

The spelling of 2326680090 in words is "two billion, three hundred twenty-six million, six hundred eighty thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 73 90 105 126 146 210 219 315 365 438 511 630 657 730 1022 1095 1314 1533 2190 2555 3066 3285 4599 5110 6570 7665 9198 15330 22995 45990 50591 101182 151773 252955 303546 354137 455319 505910 708274 758865 910638 1062411 1517730 1770685 2124822 2276595 3187233 3541370 3693143 4553190 5312055 6374466 7386286 10624110 11079429 15936165 18465715 22158858 25852001 31872330 33238287 36931430 51704002 55397145 66476574 77556003 110794290 129260005 155112006 166191435 232668009 258520010 332382870 387780015 465336018 775560030 1163340045 2326680090