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422044512 = 25353109761
BaseRepresentation
bin11001001001111…
…110001101100000
31002102011002020020
4121021332031200
51331020411022
6105513513440
713313214321
oct3111761540
91072132206
10422044512
111a726231a
12b9412880
136958c4a6
14400a2448
15270ba35c
hex1927e360

422044512 has 96 divisors (see below), whose sum is σ = 1140622560. Its totient is φ = 136581120.

The previous prime is 422044489. The next prime is 422044517. The reversal of 422044512 is 215440224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422044517) 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, 554212 + ... + 554972.

It is an arithmetic number, because the mean of its divisors is an integer number (11881485).

Almost surely, 2422044512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422044512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570311280).

422044512 is an abundant number, since it is smaller than the sum of its proper divisors (718578048).

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

422044512 is a wasteful number, since it uses less digits than its factorization.

422044512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 422044512 is about 20543.7219607354. The cubic root of 422044512 is about 750.1004381045.

Adding to 422044512 its reverse (215440224), we get a palindrome (637484736).

The spelling of 422044512 in words is "four hundred twenty-two million, forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 109 159 212 218 318 327 424 436 636 654 761 848 872 1272 1308 1522 1696 1744 2283 2544 2616 3044 3488 4566 5088 5232 5777 6088 9132 10464 11554 12176 17331 18264 23108 24352 34662 36528 40333 46216 69324 73056 80666 82949 92432 120999 138648 161332 165898 184864 241998 248847 277296 322664 331796 483996 497694 554592 645328 663592 967992 995388 1290656 1327184 1935984 1990776 2654368 3871968 3981552 4396297 7963104 8792594 13188891 17585188 26377782 35170376 52755564 70340752 105511128 140681504 211022256 422044512