Search a number
-
+
422045520 = 243513135271
BaseRepresentation
bin11001001001111…
…110011101010000
31002102011010121120
4121021332131100
51331020424040
6105513522240
713313220261
oct3111763520
91072133546
10422045520
111a7263056
12b9413380
136958caa0
14400a2968
15270ba7d0
hex1927e750

422045520 has 80 divisors (see below), whose sum is σ = 1408993152. Its totient is φ = 103887360.

The previous prime is 422045509. The next prime is 422045521. The reversal of 422045520 is 25540224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 (422045521) 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, 64516 + ... + 70755.

Almost surely, 2422045520 is an apocalyptic number.

422045520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422045520 is an abundant number, since it is smaller than the sum of its proper divisors (986947632).

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

422045520 is a wasteful number, since it uses less digits than its factorization.

422045520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135300 (or 135294 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 422045520 is about 20543.7464937630. The cubic root of 422045520 is about 750.1010352774.

Adding to 422045520 its reverse (25540224), we get a palindrome (447585744).

The spelling of 422045520 in words is "four hundred twenty-two million, forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 135271 270542 405813 541084 676355 811626 1082168 1352710 1623252 1758523 2029065 2164336 2705420 3246504 3517046 4058130 5275569 5410840 6493008 7034092 8116260 8792615 10551138 10821680 14068184 16232520 17585230 21102276 26377845 28136368 32465040 35170460 42204552 52755690 70340920 84409104 105511380 140681840 211022760 422045520