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20233313440 = 2552354110163
BaseRepresentation
bin10010110101111111…
…111101110010100000
31221020002112211010021
4102311333331302200
5312414212012230
613143422043224
71314254220004
oct226577756240
957202484107
1020233313440
1186431a594a
123b08119514
131ba5b27122
14d9d29a704
157d64a5c7a
hex4b5ffdca0

20233313440 has 96 divisors (see below), whose sum is σ = 49976631936. Its totient is φ = 7726371840.

The previous prime is 20233313413. The next prime is 20233313449. The reversal of 20233313440 is 4431333202.

It is a super-2 number, since 2×202333134402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20233313449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1985799 + ... + 1995961.

It is an arithmetic number, because the mean of its divisors is an integer number (520589916).

Almost surely, 220233313440 is an apocalyptic number.

20233313440 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 20233313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24988315968).

20233313440 is an abundant number, since it is smaller than the sum of its proper divisors (29743318496).

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

20233313440 is a wasteful number, since it uses less digits than its factorization.

20233313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10742 (or 10734 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 20233313440 its reverse (4431333202), we get a palindrome (24664646642).

The spelling of 20233313440 in words is "twenty billion, two hundred thirty-three million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 541 736 920 1082 1840 2164 2705 3680 4328 5410 8656 10163 10820 12443 17312 20326 21640 24886 40652 43280 49772 50815 62215 81304 86560 99544 101630 124430 162608 199088 203260 233749 248860 325216 398176 406520 467498 497720 813040 934996 995440 1168745 1626080 1869992 1990880 2337490 3739984 4674980 5498183 7479968 9349960 10996366 18699920 21992732 27490915 37399840 43985464 54981830 87970928 109963660 126458209 175941856 219927320 252916418 439854640 505832836 632291045 879709280 1011665672 1264582090 2023331344 2529164180 4046662688 5058328360 10116656720 20233313440