Search a number
-
+
22442468220 = 22325228754517
BaseRepresentation
bin10100111001101011…
…001110001101111100
32010221001110111202200
4110321223032031330
5331430232440340
614150535551500
71423100555334
oct247153161574
963831414680
1022442468220
1195772085a7
124423b2b590
1321687126c3
14112c83c0c4
158b53d0330
hex539ace37c

22442468220 has 72 divisors (see below), whose sum is σ = 68106502464. Its totient is φ = 5981931648.

The previous prime is 22442468219. The next prime is 22442468227. The reversal of 22442468220 is 2286424422.

22442468220 is a `hidden beast` number, since 2 + 2 + 4 + 424 + 6 + 8 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22442468227) 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, 384402 + ... + 438918.

Almost surely, 222442468220 is an apocalyptic number.

22442468220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22442468220 is an abundant number, since it is smaller than the sum of its proper divisors (45664034244).

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

22442468220 is a wasteful number, since it uses less digits than its factorization.

22442468220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56819 (or 56814 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 22442468220 in words is "twenty-two billion, four hundred forty-two million, four hundred sixty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2287 4574 6861 9148 11435 13722 20583 22870 27444 34305 41166 45740 54517 68610 82332 102915 109034 137220 163551 205830 218068 272585 327102 411660 490653 545170 654204 817755 981306 1090340 1635510 1962612 2453265 3271020 4906530 9813060 124680379 249360758 374041137 498721516 623401895 748082274 1122123411 1246803790 1496164548 1870205685 2244246822 2493607580 3740411370 4488493644 5610617055 7480822740 11221234110 22442468220