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42220322320 = 2451147977639
BaseRepresentation
bin100111010100100001…
…101111111000010000
311000222101222121010111
4213110201233320100
51142431400303240
631221252011104
73023154550501
oct472441577020
9130871877114
1042220322320
11169a62a9070
128223600a94
133c9b07ac57
142087418ba8
1511718ba1ea
hex9d486fe10

42220322320 has 40 divisors (see below), whose sum is σ = 107086092480. Its totient is φ = 15352844160.

The previous prime is 42220322303. The next prime is 42220322321. The reversal of 42220322320 is 2322302224.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 42220322291 and 42220322300.

It is not an unprimeable number, because it can be changed into a prime (42220322321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23987940 + ... + 23989699.

It is an arithmetic number, because the mean of its divisors is an integer number (2677152312).

Almost surely, 242220322320 is an apocalyptic number.

42220322320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42220322320 is an abundant number, since it is smaller than the sum of its proper divisors (64865770160).

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

42220322320 is a wasteful number, since it uses less digits than its factorization.

42220322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47977663 (or 47977657 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 42220322320 its reverse (2322302224), we get a palindrome (44542624544).

The spelling of 42220322320 in words is "forty-two billion, two hundred twenty million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 47977639 95955278 191910556 239888195 383821112 479776390 527754029 767642224 959552780 1055508058 1919105560 2111016116 2638770145 3838211120 4222032232 5277540290 8444064464 10555080580 21110161160 42220322320