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422701440 = 2735724493
BaseRepresentation
bin11001001100011…
…110100110000000
31002110101110100220
4121030132212000
51331202421230
6105535543040
713321621500
oct3114364600
91073343326
10422701440
111a7670937
12b968aa80
136975c4c5
14401d3a00
1527199d10
hex1931e980

422701440 has 192 divisors, whose sum is σ = 1567686960. Its totient is φ = 96595968.

The previous prime is 422701423. The next prime is 422701441. The reversal of 422701440 is 44107224.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 422701440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422701441) 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, 91834 + ... + 96326.

Almost surely, 2422701440 is an apocalyptic number.

422701440 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 422701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783843480).

422701440 is an abundant number, since it is smaller than the sum of its proper divisors (1144985520).

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

422701440 is a wasteful number, since it uses less digits than its factorization.

422701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4529 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 422701440 is about 20559.7042780289. The cubic root of 422701440 is about 750.4894227732.

Adding to 422701440 its reverse (44107224), we get a palindrome (466808664).

The spelling of 422701440 in words is "four hundred twenty-two million, seven hundred one thousand, four hundred forty".