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10222320200 = 2352298871987
BaseRepresentation
bin10011000010100110…
…00011101001001000
3222101102002200002212
421201103003221020
5131413403221300
64410203444252
7511214200541
oct114123035110
928342080085
1010222320200
114376262514
121b93526688
13c6ba8aca1
146cd8b54c8
153ec675935
hex2614c3a48

10222320200 has 96 divisors (see below), whose sum is σ = 24626548800. Its totient is φ = 3941495040.

The previous prime is 10222320197. The next prime is 10222320217. The reversal of 10222320200 is 202322201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5143607 + ... + 5145593.

It is an arithmetic number, because the mean of its divisors is an integer number (256526550).

Almost surely, 210222320200 is an apocalyptic number.

10222320200 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 10222320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12313274400).

10222320200 is an abundant number, since it is smaller than the sum of its proper divisors (14404228600).

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

10222320200 is a wasteful number, since it uses less digits than its factorization.

10222320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 10222320200 its reverse (202322201), we get a palindrome (10424642401).

The spelling of 10222320200 in words is "ten billion, two hundred twenty-two million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 887 1160 1450 1774 1987 2900 3548 3974 4435 5800 7096 7948 8870 9935 15896 17740 19870 22175 25723 35480 39740 44350 49675 51446 57623 79480 88700 99350 102892 115246 128615 177400 198700 205784 230492 257230 288115 397400 460984 514460 576230 643075 1028920 1152460 1286150 1440575 1762469 2304920 2572300 2881150 3524938 5144600 5762300 7049876 8812345 11524600 14099752 17624690 35249380 44061725 51111601 70498760 88123450 102223202 176246900 204446404 255558005 352493800 408892808 511116010 1022232020 1277790025 2044464040 2555580050 5111160100 10222320200