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10223956032 = 263293749627
BaseRepresentation
bin10011000010110010…
…10011000001000000
3222101112011210001020
421201121103001000
5131414313043112
64410302505440
7511234122663
oct114131230100
928345153036
1010223956032
11437717a544
121b93b95280
13c6c211734
146cdbbd6da
153ec89a48c
hex261653040

10223956032 has 112 divisors (see below), whose sum is σ = 28740567360. Its totient is φ = 3201472512.

The previous prime is 10223956007. The next prime is 10223956063. The reversal of 10223956032 is 23065932201.

It is a junction number, because it is equal to n+sod(n) for n = 10223955984 and 10223956002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181203 + ... + 230829.

Almost surely, 210223956032 is an apocalyptic number.

10223956032 is a gapful number since it is divisible by the number (12) 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 10223956032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370283680).

10223956032 is an abundant number, since it is smaller than the sum of its proper divisors (18516611328).

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

10223956032 is a wasteful number, since it uses less digits than its factorization.

10223956032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49708 (or 49698 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 10223956032 in words is "ten billion, two hundred twenty-three million, nine hundred fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 64 74 87 96 111 116 148 174 192 222 232 296 348 444 464 592 696 888 928 1073 1184 1392 1776 1856 2146 2368 2784 3219 3552 4292 5568 6438 7104 8584 12876 17168 25752 34336 49627 51504 68672 99254 103008 148881 198508 206016 297762 397016 595524 794032 1191048 1439183 1588064 1836199 2382096 2878366 3176128 3672398 4317549 4764192 5508597 5756732 7344796 8635098 9528384 11017194 11513464 14689592 17270196 22034388 23026928 29379184 34540392 44068776 46053856 53249771 58758368 69080784 88137552 92107712 106499542 117516736 138161568 159749313 176275104 212999084 276323136 319498626 352550208 425998168 638997252 851996336 1277994504 1703992672 2555989008 3407985344 5111978016 10223956032