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2321264140 = 22513593892
BaseRepresentation
bin1000101001011011…
…1010111000001100
312222202212102202221
42022112322320030
514223220423030
61022200425124
7111344263636
oct21226727014
95882772687
102321264140
11a91325118
125494781a4
132acbabaa0
14180405a56
15d8bc1e7a
hex8a5bae0c

2321264140 has 72 divisors (see below), whose sum is σ = 5352364080. Its totient is φ = 840389376.

The previous prime is 2321264119. The next prime is 2321264149. The reversal of 2321264140 is 414621232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2321264149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5967066 + ... + 5967454.

It is an arithmetic number, because the mean of its divisors is an integer number (74338390).

Almost surely, 22321264140 is an apocalyptic number.

2321264140 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 2321264140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676182040).

2321264140 is an abundant number, since it is smaller than the sum of its proper divisors (3031099940).

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

2321264140 is a wasteful number, since it uses less digits than its factorization.

2321264140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2321264140 is about 48179.4991671769. The cubic root of 2321264140 is about 1324.0615906763.

Adding to 2321264140 its reverse (414621232), we get a palindrome (2735885372).

The spelling of 2321264140 in words is "two billion, three hundred twenty-one million, two hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 236 260 295 389 590 767 778 1180 1534 1556 1945 3068 3835 3890 5057 7670 7780 10114 15340 20228 22951 25285 45902 50570 91804 101140 114755 151321 229510 298363 302642 459020 596726 605284 756605 1193452 1491815 1513210 1967173 2983630 3026420 3934346 5967260 7868692 8927939 9835865 17855878 19671730 35711756 39343460 44639695 89279390 116063207 178558780 232126414 464252828 580316035 1160632070 2321264140