Search a number
-
+
22320302040 = 2332562000839
BaseRepresentation
bin10100110010011001…
…001100011111011000
32010121112120211021100
4110302121030133120
5331202444131130
614130453311400
71420055302611
oct246231143730
963545524240
1022320302040
119514257313
1243ab035560
13214930a81a
14111a51ac08
158a97ecc60
hex53264c7d8

22320302040 has 48 divisors (see below), whose sum is σ = 72540982800. Its totient is φ = 5952080448.

The previous prime is 22320301979. The next prime is 22320302057. The reversal of 22320302040 is 4020302322.

22320302040 is a `hidden beast` number, since 2 + 2 + 320 + 302 + 0 + 40 = 666.

It is a super-3 number, since 3×223203020403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31000060 + ... + 31000779.

It is an arithmetic number, because the mean of its divisors is an integer number (1511270475).

Almost surely, 222320302040 is an apocalyptic number.

22320302040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22320302040 is an abundant number, since it is smaller than the sum of its proper divisors (50220680760).

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

22320302040 is a wasteful number, since it uses less digits than its factorization.

22320302040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62000856 (or 62000849 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 22320302040 its reverse (4020302322), we get a palindrome (26340604362).

The spelling of 22320302040 in words is "twenty-two billion, three hundred twenty million, three hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 62000839 124001678 186002517 248003356 310004195 372005034 496006712 558007551 620008390 744010068 930012585 1116015102 1240016780 1488020136 1860025170 2232030204 2480033560 2790037755 3720050340 4464060408 5580075510 7440100680 11160151020 22320302040