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2312430423220 = 225197929191061
BaseRepresentation
bin100001101001100111100…
…110000000110010110100
322012001210020210210201101
4201221213212000302310
5300341324142020340
64530152121135444
7326032116166351
oct41514746006264
98161706723641
102312430423220
11811772764025
123141b832a584
1313a0a475b898
147dcca853628
1540241acec9a
hex21a67980cb4

2312430423220 has 144 divisors (see below), whose sum is σ = 5187730665600. Its totient is φ = 863441130240.

The previous prime is 2312430423181. The next prime is 2312430423227. The reversal of 2312430423220 is 223240342132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312430423227) 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, 2179481490 + ... + 2179482550.

It is an arithmetic number, because the mean of its divisors is an integer number (36025907400).

Almost surely, 22312430423220 is an apocalyptic number.

2312430423220 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 2312430423220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593865332800).

2312430423220 is an abundant number, since it is smaller than the sum of its proper divisors (2875300242380).

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

2312430423220 is a wasteful number, since it uses less digits than its factorization.

2312430423220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2312430423220 its reverse (223240342132), we get a palindrome (2535670765352).

The spelling of 2312430423220 in words is "two trillion, three hundred twelve billion, four hundred thirty million, four hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 79 95 158 190 316 380 395 790 919 1061 1501 1580 1838 2122 3002 3676 4244 4595 5305 6004 6241 7505 9190 10610 12482 15010 17461 18380 20159 21220 24964 30020 31205 34922 40318 62410 69844 72601 80636 83819 87305 100795 118579 124820 145202 167638 174610 201590 237158 290404 335276 349220 363005 403180 419095 474316 592895 726010 838190 975059 1185790 1379419 1452020 1592561 1676380 1950118 2371580 2758838 3185122 3900236 4875295 5517676 5735479 6370244 6621701 6897095 7962805 9750590 11470958 13243402 13794190 15925610 18526121 19501180 22941916 26486804 27588380 28677395 31851220 33108505 37052242 57354790 66217010 74104484 77029661 92630605 108974101 114709580 125812319 132434020 154059322 185261210 217948202 251624638 308118644 370522420 385148305 435896404 503249276 544870505 629061595 770296610 1089741010 1258123190 1463563559 1540593220 2179482020 2516246380 2927127118 5854254236 6085343219 7317817795 12170686438 14635635590 24341372876 29271271180 30426716095 60853432190 115621521161 121706864380 231243042322 462486084644 578107605805 1156215211610 2312430423220