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422036640 = 25325293081
BaseRepresentation
bin11001001001111…
…100010010100000
31002102010200102200
4121021330102200
51331020133030
6105513413200
713313152344
oct3111742240
91072120380
10422036640
111a7257413
12b940a200
1369588a2c
144009d624
15270b7d60
hex1927c4a0

422036640 has 72 divisors (see below), whose sum is σ = 1440204948. Its totient is φ = 112542720.

The previous prime is 422036633. The next prime is 422036647. The reversal of 422036640 is 46630224.

It is an interprime number because it is at equal distance from previous prime (422036633) and next prime (422036647).

It can be written as a sum of positive squares in 2 ways, for example, as 388720656 + 33315984 = 19716^2 + 5772^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4220366402 = 356229851004979200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422036647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145101 + ... + 147980.

Almost surely, 2422036640 is an apocalyptic number.

422036640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422036640 is an abundant number, since it is smaller than the sum of its proper divisors (1018168308).

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

422036640 is a wasteful number, since it uses less digits than its factorization.

422036640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293102 (or 293091 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 422036640 is about 20543.5303684639. The cubic root of 422036640 is about 750.0957744358.

Adding to 422036640 its reverse (46630224), we get a palindrome (468666864).

The spelling of 422036640 in words is "four hundred twenty-two million, thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 293081 586162 879243 1172324 1465405 1758486 2344648 2637729 2930810 3516972 4396215 4689296 5275458 5861620 7033944 8792430 9378592 10550916 11723240 13188645 14067888 17584860 21101832 23446480 26377290 28135776 35169720 42203664 46892960 52754580 70339440 84407328 105509160 140678880 211018320 422036640