Search a number
-
+
22420880240 = 24511231107751
BaseRepresentation
bin10100111000011000…
…110111101101110000
32010212112211201121212
4110320120313231300
5331404221131430
614144445135252
71422416223533
oct247030675560
963775751555
1022420880240
1195660031a0
12441885a528
1321640c4555
141129a1ca1a
158b3568b95
hex538637b70

22420880240 has 80 divisors (see below), whose sum is σ = 59340059136. Its totient is φ = 7798560000.

The previous prime is 22420880239. The next prime is 22420880243. The reversal of 22420880240 is 4208802422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 22420880197 and 22420880206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22420880243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533636 + ... + 574115.

Almost surely, 222420880240 is an apocalyptic number.

22420880240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22420880240 is an abundant number, since it is smaller than the sum of its proper divisors (36919178896).

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

22420880240 is a wasteful number, since it uses less digits than its factorization.

22420880240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107798 (or 1107792 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

It can be divided in two parts, 2 and 2420880240, that added together give a palindrome (2420880242).

The spelling of 22420880240 in words is "twenty-two billion, four hundred twenty million, eight hundred eighty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2530 4048 5060 10120 20240 1107751 2215502 4431004 5538755 8862008 11077510 12185261 17724016 22155020 24370522 25478273 44310040 48741044 50956546 60926305 88620080 97482088 101913092 121852610 127391365 194964176 203826184 243705220 254782730 280261003 407652368 487410440 509565460 560522006 974820880 1019130920 1121044012 1401305015 2038261840 2242088024 2802610030 4484176048 5605220060 11210440120 22420880240