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23344313220 = 223252353106391
BaseRepresentation
bin10101101111011011…
…011111001110000100
32020020220102222112100
4111233123133032010
5340302121010340
614420233352100
71454331250134
oct255733371604
966226388470
1023344313220
11999a290048
124635b68630
132280503ab7
1411b6518ac4
15919673830
hex56f6df384

23344313220 has 144 divisors (see below), whose sum is σ = 75284681472. Its totient is φ = 5842087680.

The previous prime is 23344313203. The next prime is 23344313221. The reversal of 23344313220 is 2231344332.

23344313220 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 431 + 3 + 220 = 666.

It is not an unprimeable number, because it can be changed into a prime (23344313221) 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, 166225 + ... + 272615.

It is an arithmetic number, because the mean of its divisors is an integer number (522810288).

Almost surely, 223344313220 is an apocalyptic number.

23344313220 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 23344313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37642340736).

23344313220 is an abundant number, since it is smaller than the sum of its proper divisors (51940368252).

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

23344313220 is a wasteful number, since it uses less digits than its factorization.

23344313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106482 (or 106477 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 23344313220 its reverse (2231344332), we get a palindrome (25575657552).

The spelling of 23344313220 in words is "twenty-three billion, three hundred forty-four million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 53 60 69 90 92 106 115 138 159 180 207 212 230 265 276 318 345 414 460 477 530 636 690 795 828 954 1035 1060 1219 1380 1590 1908 2070 2385 2438 3180 3657 4140 4770 4876 6095 7314 9540 10971 12190 14628 18285 21942 24380 36570 43884 54855 73140 106391 109710 212782 219420 319173 425564 531955 638346 957519 1063910 1276692 1595865 1915038 2127820 2446993 3191730 3830076 4787595 4893986 5638723 6383460 7340979 9575190 9787972 11277446 12234965 14681958 16916169 19150380 22022937 22554892 24469930 28193615 29363916 33832338 36704895 44045874 48939860 50748507 56387230 67664676 73409790 84580845 88091748 101497014 110114685 112774460 129690629 146819580 169161690 202994028 220229370 253742535 259381258 338323380 389071887 440458740 507485070 518762516 648453145 778143774 1014970140 1167215661 1296906290 1556287548 1945359435 2334431322 2593812580 3890718870 4668862644 5836078305 7781437740 11672156610 23344313220