Search a number
-
+
22222303400 = 23521124122397
BaseRepresentation
bin10100101100100011…
…010111000010101000
32010100201011222102002
4110230203113002220
5331002402202100
614113033030132
71414455314363
oct245443270250
963321158362
1022222303400
119473a02500
124382255348
132131c17c6b
14110b4cb0da
158a0de12d5
hex52c8d70a8

22222303400 has 144 divisors (see below), whose sum is σ = 58178581020. Its totient is φ = 7883392000.

The previous prime is 22222303399. The next prime is 22222303429. The reversal of 22222303400 is 430322222.

It can be written as a sum of positive squares in 6 ways, for example, as 8363834116 + 13858469284 = 91454^2 + 117722^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 981002 + ... + 1003398.

Almost surely, 222222303400 is an apocalyptic number.

22222303400 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 22222303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29089290510).

22222303400 is an abundant number, since it is smaller than the sum of its proper divisors (35956277620).

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

22222303400 is a wasteful number, since it uses less digits than its factorization.

22222303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22476 (or 22456 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 22222303400 its reverse (430322222), we get a palindrome (22652625622).

The spelling of 22222303400 in words is "twenty-two billion, two hundred twenty-two million, three hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 121 164 200 205 220 242 275 328 410 440 451 484 550 605 820 902 968 1025 1100 1210 1640 1804 2050 2200 2255 2420 3025 3608 4100 4510 4840 4961 6050 8200 9020 9922 11275 12100 18040 19844 22397 22550 24200 24805 39688 44794 45100 49610 89588 90200 99220 111985 124025 179176 198440 223970 246367 248050 447940 492734 496100 559925 895880 918277 985468 992200 1119850 1231835 1836554 1970936 2239700 2463670 2710037 3673108 4479400 4591385 4927340 5420074 6159175 7346216 9182770 9854680 10101047 10840148 12318350 13550185 18365540 20202094 21680296 22956925 24636700 27100370 36731080 40404188 45913850 49273400 50505235 54200740 67750925 80808376 91827700 101010470 108401480 111111517 135501850 183655400 202020940 222223034 252526175 271003700 404041880 444446068 505052350 542007400 555557585 888892136 1010104700 1111115170 2020209400 2222230340 2777787925 4444460680 5555575850 11111151700 22222303400