Search a number
-
+
22344023100 = 22352717625883
BaseRepresentation
bin10100110011110011…
…101011110000111100
32010200012012222110010
4110303303223300330
5331230032214400
614133101543220
71420464030330
oct246363536074
963605188403
1022344023100
1195266892a3
1243b6b74b10
1321511c4859
14111d7337c0
158ab936450
hex533cebc3c

22344023100 has 144 divisors (see below), whose sum is σ = 78230492928. Its totient is φ = 4806773760.

The previous prime is 22344023081. The next prime is 22344023147. The reversal of 22344023100 is 132044322.

It is a super-2 number, since 2×223440231002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277242 + ... + 348641.

It is an arithmetic number, because the mean of its divisors is an integer number (543267312).

Almost surely, 222344023100 is an apocalyptic number.

22344023100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22344023100 is an abundant number, since it is smaller than the sum of its proper divisors (55886469828).

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

22344023100 is a wasteful number, since it uses less digits than its factorization.

22344023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625924 (or 625917 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22344023100 its reverse (132044322), we get a palindrome (22476067422).

The spelling of 22344023100 in words is "twenty-two billion, three hundred forty-four million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 2100 2380 2550 2975 3570 5100 5950 7140 8925 11900 17850 35700 625883 1251766 1877649 2503532 3129415 3755298 4381181 6258830 7510596 8762362 9388245 10640011 12517660 13143543 15647075 17524724 18776490 21280022 21905905 26287086 31294150 31920033 37552980 42560044 43811810 46941225 52574172 53200055 62588300 63840066 65717715 74480077 87623620 93882450 106400110 109529525 127680132 131435430 148960154 159600165 187764900 212800220 219059050 223440231 262870860 266000275 297920308 319200330 328588575 372400385 438118100 446880462 532000550 638400660 657177150 744800770 798000825 893760924 1064001100 1117201155 1314354300 1489601540 1596001650 1862001925 2234402310 3192003300 3724003850 4468804620 5586005775 7448007700 11172011550 22344023100