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2313222340 = 2251121373529
BaseRepresentation
bin1000100111100000…
…1111100011000100
312222012201212111111
42021320033203010
514214141103330
61021312214404
7111216031312
oct21170174304
95865655444
102313222340
11a87832200
1254683a404
132ab324620
1417d3110b2
15d813432a
hex89e0f8c4

2313222340 has 72 divisors (see below), whose sum is σ = 5750340120. Its totient is φ = 776455680.

The previous prime is 2313222311. The next prime is 2313222371. The reversal of 2313222340 is 432223132.

It can be written as a sum of positive squares in 4 ways, for example, as 121484484 + 2191737856 = 11022^2 + 46816^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5305 + ... + 68224.

It is an arithmetic number, because the mean of its divisors is an integer number (79865835).

Almost surely, 22313222340 is an apocalyptic number.

2313222340 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 2313222340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875170060).

2313222340 is an abundant number, since it is smaller than the sum of its proper divisors (3437117780).

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

2313222340 is a wasteful number, since it uses less digits than its factorization.

2313222340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73573 (or 73560 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2313222340 is about 48095.9701014544. The cubic root of 2313222340 is about 1322.5307928408.

Adding to 2313222340 its reverse (432223132), we get a palindrome (2745445472).

The spelling of 2313222340 in words is "two billion, three hundred thirteen million, two hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1430 1573 2420 2860 3146 6292 7865 15730 31460 73529 147058 294116 367645 735290 808819 955877 1470580 1617638 1911754 3235276 3823508 4044095 4779385 8088190 8897009 9558770 10514647 16176380 17794018 19117540 21029294 35588036 42058588 44485045 52573235 88970090 105146470 115661117 177940180 210292940 231322234 462644468 578305585 1156611170 2313222340