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10232223200 = 255289143711
BaseRepresentation
bin10011000011110001…
…10101010111100000
3222102002201210110122
421201320311113200
5131423422120300
64411200015412
7511364314343
oct114170652740
928362653418
1010232223200
114380906811
121b96901568
13c70b47654
146d0d3245a
153ed47ec85
hex261e355e0

10232223200 has 72 divisors (see below), whose sum is σ = 25260258240. Its totient is φ = 4046873600.

The previous prime is 10232223161. The next prime is 10232223203. The reversal of 10232223200 is 232223201.

It is a super-2 number, since 2×102322232002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232223203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 656 + ... + 143055.

It is an arithmetic number, because the mean of its divisors is an integer number (350836920).

Almost surely, 210232223200 is an apocalyptic number.

10232223200 is a gapful number since it is divisible by the number (10) 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 10232223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12630129120).

10232223200 is an abundant number, since it is smaller than the sum of its proper divisors (15028035040).

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

10232223200 is a wasteful number, since it uses less digits than its factorization.

10232223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143820 (or 143807 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 10232223200 its reverse (232223201), we get a palindrome (10464446401).

Subtracting from 10232223200 its reverse (232223201), we obtain a palindrome (9999999999).

The spelling of 10232223200 in words is "ten billion, two hundred thirty-two million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 160 178 200 356 400 445 712 800 890 1424 1780 2225 2848 3560 4450 7120 8900 14240 17800 35600 71200 143711 287422 574844 718555 1149688 1437110 2299376 2874220 3592775 4598752 5748440 7185550 11496880 12790279 14371100 22993760 25580558 28742200 51161116 57484400 63951395 102322232 114968800 127902790 204644464 255805580 319756975 409288928 511611160 639513950 1023222320 1279027900 2046444640 2558055800 5116111600 10232223200