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22100012200 = 23527115313691
BaseRepresentation
bin10100100101010000…
…110110110010101000
32010001012001221102101
4110211100312302220
5330230100342300
614052543543144
71411442001310
oct244520666250
963035057371
1022100012200
1194109762a2
1243492baab4
13211279b1c6
1410d9176440
158952d6b6a
hex525436ca8

22100012200 has 96 divisors (see below), whose sum is σ = 58778112960. Its totient is φ = 7570022400.

The previous prime is 22100012197. The next prime is 22100012287. The reversal of 22100012200 is 221000122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1607355 + ... + 1621045.

It is an arithmetic number, because the mean of its divisors is an integer number (612272010).

Almost surely, 222100012200 is an apocalyptic number.

22100012200 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 22100012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29389056480).

22100012200 is an abundant number, since it is smaller than the sum of its proper divisors (36678100760).

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

22100012200 is a wasteful number, since it uses less digits than its factorization.

22100012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14867 (or 14858 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22100012200 its reverse (221000122), we get a palindrome (22321012322).

22100012200 divided by its reverse (221000122) gives a square (100 = 102).

The spelling of 22100012200 in words is "twenty-two billion, one hundred million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1153 1400 2306 4612 5765 8071 9224 11530 13691 16142 23060 27382 28825 32284 40355 46120 54764 57650 64568 68455 80710 95837 109528 115300 136910 161420 191674 201775 230600 273820 322840 342275 383348 403550 479185 547640 684550 766696 807100 958370 1369100 1614200 1916740 2395925 2738200 3833480 4791850 9583700 15785723 19167400 31571446 63142892 78928615 110500061 126285784 157857230 221000122 315714460 394643075 442000244 552500305 631428920 789286150 884000488 1105000610 1578572300 2210001220 2762501525 3157144600 4420002440 5525003050 11050006100 22100012200