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10221222200 = 2352717940787
BaseRepresentation
bin10011000010011101…
…10111100100111000
3222101100000212221012
421201032313210320
5131413113102300
64410124133052
7511201645430
oct114116674470
928340025835
1010221222200
114375682582
121b93097188
13c6b795297
146cd6ab2c0
153ec50a435
hex2613b7938

10221222200 has 96 divisors (see below), whose sum is σ = 27311644800. Its totient is φ = 3484755840.

The previous prime is 10221222199. The next prime is 10221222227. The reversal of 10221222200 is 222212201.

10221222200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230207 + ... + 270993.

It is an arithmetic number, because the mean of its divisors is an integer number (284496300).

Almost surely, 210221222200 is an apocalyptic number.

10221222200 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 10221222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655822400).

10221222200 is an abundant number, since it is smaller than the sum of its proper divisors (17090422600).

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

10221222200 is a wasteful number, since it uses less digits than its factorization.

10221222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40989 (or 40980 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10221222200 its reverse (222212201), we get a palindrome (10443434401).

Subtracting from 10221222200 its reverse (222212201), we obtain a palindrome (9999009999).

The spelling of 10221222200 in words is "ten billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 179 200 280 350 358 700 716 895 1253 1400 1432 1790 2506 3580 4475 5012 6265 7160 8950 10024 12530 17900 25060 31325 35800 40787 50120 62650 81574 125300 163148 203935 250600 285509 326296 407870 571018 815740 1019675 1142036 1427545 1631480 2039350 2284072 2855090 4078700 5710180 7137725 7300873 8157400 11420360 14275450 14601746 28550900 29203492 36504365 51106111 57101800 58406984 73008730 102212222 146017460 182521825 204424444 255530555 292034920 365043650 408848888 511061110 730087300 1022122220 1277652775 1460174600 2044244440 2555305550 5110611100 10221222200