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420622152 = 233191635659
BaseRepresentation
bin11001000100100…
…010111101001000
31002022110211010020
4121010202331020
51330134402102
6105423220440
713265141436
oct3104427510
91068424106
10420622152
111a6480715
12b8a47720
13691b1c62
143dc11d56
1526dd8bbc
hex19122f48

420622152 has 64 divisors (see below), whose sum is σ = 1113888000. Its totient is φ = 131989824.

The previous prime is 420622117. The next prime is 420622187. The reversal of 420622152 is 251226024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420622117) and next prime (420622187).

It is a super-2 number, since 2×4206221522 = 353845989506222208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71499 + ... + 77157.

It is an arithmetic number, because the mean of its divisors is an integer number (17404500).

Almost surely, 2420622152 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 420622152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556944000).

420622152 is an abundant number, since it is smaller than the sum of its proper divisors (693265848).

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

420622152 is a wasteful number, since it uses less digits than its factorization.

420622152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5850 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 420622152 is about 20509.0748694328. The cubic root of 420622152 is about 749.2568354073.

Adding to 420622152 its reverse (251226024), we get a palindrome (671848176).

The spelling of 420622152 in words is "four hundred twenty million, six hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 163 228 326 456 489 652 978 1304 1956 3097 3912 5659 6194 9291 11318 12388 16977 18582 22636 24776 33954 37164 45272 67908 74328 107521 135816 215042 322563 430084 645126 860168 922417 1290252 1844834 2580504 2767251 3689668 5534502 7379336 11069004 17525923 22138008 35051846 52577769 70103692 105155538 140207384 210311076 420622152