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421214200 = 235211191461
BaseRepresentation
bin11001000110110…
…011011111111000
31002100120220020221
4121012303133320
51330312323300
6105444025424
713303155511
oct3106633770
91070526227
10421214200
111a6845510
12b9092274
136935b594
143dd27a08
1526ea431a
hex191b37f8

421214200 has 48 divisors (see below), whose sum is σ = 1068357960. Its totient is φ = 153168000.

The previous prime is 421214191. The next prime is 421214207. The reversal of 421214200 is 2412124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421214207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93531 + ... + 97930.

Almost surely, 2421214200 is an apocalyptic number.

421214200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421214200 is an abundant number, since it is smaller than the sum of its proper divisors (647143760).

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

421214200 is a wasteful number, since it uses less digits than its factorization.

421214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191488 (or 191479 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 421214200 is about 20523.5035995319. The cubic root of 421214200 is about 749.6082101848.

Adding to 421214200 its reverse (2412124), we get a palindrome (423626324).

The spelling of 421214200 in words is "four hundred twenty-one million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 191461 382922 765844 957305 1531688 1914610 2106071 3829220 4212142 4786525 7658440 8424284 9573050 10530355 16848568 19146100 21060710 38292200 42121420 52651775 84242840 105303550 210607100 421214200