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2325991220 = 225759379743
BaseRepresentation
bin1000101010100011…
…1100111100110100
320000002202121002222
42022220330330310
514230423204340
61022450021512
7111432412340
oct21250747464
96002677088
102325991220
11a93a636a3
1254ab77898
132b0b75587
14180cb6620
15d93078b5
hex8aa3cf34

2325991220 has 96 divisors (see below), whose sum is σ = 5699635200. Its totient is φ = 780845184.

The previous prime is 2325991207. The next prime is 2325991249. The reversal of 2325991220 is 221995232.

2325991220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with 3373643979 it forms a betrothed pair.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3130169 + ... + 3130911.

It is an arithmetic number, because the mean of its divisors is an integer number (59371200).

Almost surely, 22325991220 is an apocalyptic number.

2325991220 is a gapful number since it is divisible by the number (20) 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 2325991220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849817600).

2325991220 is an abundant number, since it is smaller than the sum of its proper divisors (3373643980).

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

2325991220 is a wasteful number, since it uses less digits than its factorization.

2325991220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 2325991220 is about 48228.5311822784. The cubic root of 2325991220 is about 1324.9597652432.

The spelling of 2325991220 in words is "two billion, three hundred twenty-five million, nine hundred ninety-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 379 413 590 743 758 826 1180 1486 1516 1652 1895 2065 2653 2972 3715 3790 4130 5201 5306 7430 7580 8260 10402 10612 13265 14860 20804 22361 26005 26530 43837 44722 52010 53060 87674 89444 104020 111805 156527 175348 219185 223610 281597 306859 313054 438370 447220 563194 613718 626108 782635 876740 1126388 1227436 1407985 1534295 1565270 1971179 2815970 3068590 3130540 3942358 5631940 6137180 7884716 9855895 16614223 19711790 33228446 39423580 66456892 83071115 116299561 166142230 232599122 332284460 465198244 581497805 1162995610 2325991220