Search a number
-
+
222011100000100 = 225231116351615521
BaseRepresentation
bin110010011110101011111100…
…110000000110111101100100
31002010002001110021112211210001
4302132223330300012331210
5213044412213100000400
62104102254044111044
764522526010313015
oct6236537460067544
91063061407484701
10222011100000100
1164815419150574
1220a972a4235484
1396b5731675178
143cb75749d300c
151aa0041646a6a
hexc9eafcc06f64

222011100000100 has 72 divisors (see below), whose sum is σ = 497309946126336. Its totient is φ = 85938902400000.

The previous prime is 222011099999989. The next prime is 222011100000101. The reversal of 222011100000100 is 1000001110222.

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

It is not an unprimeable number, because it can be changed into a prime (222011100000101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360380340 + ... + 360995860.

It is an arithmetic number, because the mean of its divisors is an integer number (6907082585088).

Almost surely, 2222011100000100 is an apocalyptic number.

222011100000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222011100000100 is an abundant number, since it is smaller than the sum of its proper divisors (275298846126236).

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

222011100000100 is a wasteful number, since it uses less digits than its factorization.

222011100000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731917 (or 731910 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 222011100000100 its reverse (1000001110222), we get a palindrome (223011101110322).

The spelling of 222011100000100 in words is "two hundred twenty-two trillion, eleven billion, one hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 116351 232702 465404 581755 615521 1163510 1231042 2327020 2462084 2908775 3077605 3606881 5817550 6155210 7213762 11635100 12310420 14427524 15388025 18034405 19081151 30776050 36068810 38162302 61552100 72137620 76324604 90172025 95405755 180344050 190811510 360688100 381623020 477028775 954057550 1908115100 71616483871 143232967742 286465935484 358082419355 716164838710 1432329677420 1790412096775 2220111000001 3580824193550 4440222000002 7161648387100 8880444000004 11100555000005 22201110000010 44402220000020 55502775000025 111005550000050 222011100000100