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422220040 = 235116115731
BaseRepresentation
bin11001001010101…
…001000100001000
31002102111000000021
4121022221010020
51331042020130
6105521350224
713314545134
oct3112510410
91072430007
10422220040
111a7372190
12b9498374
1369621358
144010a3c4
152710237a
hex192a9108

422220040 has 64 divisors (see below), whose sum is σ = 1053414720. Its totient is φ = 151008000.

The previous prime is 422220017. The next prime is 422220049. The reversal of 422220040 is 40022224.

It is a junction number, because it is equal to n+sod(n) for n = 422219996 and 422220023.

It is not an unprimeable number, because it can be changed into a prime (422220049) 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, 18975 + ... + 34705.

It is an arithmetic number, because the mean of its divisors is an integer number (16459605).

Almost surely, 2422220040 is an apocalyptic number.

422220040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526707360).

422220040 is an abundant number, since it is smaller than the sum of its proper divisors (631194680).

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

422220040 is a wasteful number, since it uses less digits than its factorization.

422220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15814 (or 15810 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 422220040 is about 20547.9935760161. The cubic root of 422220040 is about 750.2044124305.

Adding to 422220040 its reverse (40022224), we get a palindrome (462242264).

The spelling of 422220040 in words is "four hundred twenty-two million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 440 488 610 671 1220 1342 2440 2684 3355 5368 6710 13420 15731 26840 31462 62924 78655 125848 157310 173041 314620 346082 629240 692164 865205 959591 1384328 1730410 1919182 3460820 3838364 4797955 6921640 7676728 9595910 10555501 19191820 21111002 38383640 42222004 52777505 84444008 105555010 211110020 422220040