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2313430620 = 22352314911251
BaseRepresentation
bin1000100111100100…
…0010011001011100
312222020010110012120
42021321002121130
514214214234440
61021320502540
7111220556454
oct21171023134
95866113176
102313430620
11a87964736
1254691aa50
132ab398377
1417d366d64
15d8175dd0
hex89e4265c

2313430620 has 96 divisors (see below), whose sum is σ = 6805209600. Its totient is φ = 586080000.

The previous prime is 2313430589. The next prime is 2313430627. The reversal of 2313430620 is 260343132.

It is a super-2 number, since 2×23134306202 = 10703922467107168800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313430627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199995 + ... + 211245.

It is an arithmetic number, because the mean of its divisors is an integer number (70887600).

Almost surely, 22313430620 is an apocalyptic number.

2313430620 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 2313430620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402604800).

2313430620 is an abundant number, since it is smaller than the sum of its proper divisors (4491778980).

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

2313430620 is a wasteful number, since it uses less digits than its factorization.

2313430620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11435 (or 11433 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2313430620 is about 48098.1353068911. The cubic root of 2313430620 is about 1322.5704847231.

Adding to 2313430620 its reverse (260343132), we get a palindrome (2573773752).

The spelling of 2313430620 in words is "two billion, three hundred thirteen million, four hundred thirty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 149 230 276 298 345 447 460 596 690 745 894 1380 1490 1788 2235 2980 3427 4470 6854 8940 10281 11251 13708 17135 20562 22502 33753 34270 41124 45004 51405 56255 67506 68540 102810 112510 135012 168765 205620 225020 258773 337530 517546 675060 776319 1035092 1293865 1552638 1676399 2587730 3105276 3352798 3881595 5029197 5175460 6705596 7763190 8381995 10058394 15526380 16763990 20116788 25145985 33527980 38557177 50291970 77114354 100583940 115671531 154228708 192785885 231343062 385571770 462686124 578357655 771143540 1156715310 2313430620