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421211200 = 2652263257
BaseRepresentation
bin11001000110110…
…010110001000000
31002100120202010211
4121012302301000
51330312224300
6105444003504
713303143664
oct3106626100
91070522124
10421211200
111a6843233
12b9090594
136935a0c7
143dd268a4
1526ea34ba
hex191b2c40

421211200 has 42 divisors (see below), whose sum is σ = 1036446746. Its totient is φ = 168483840.

The previous prime is 421211177. The next prime is 421211237. The reversal of 421211200 is 2112124.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 17040384 + 404170816 = 4128^2 + 20104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 130029 + ... + 133228.

Almost surely, 2421211200 is an apocalyptic number.

421211200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421211200 is an abundant number, since it is smaller than the sum of its proper divisors (615235546).

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

421211200 is a wasteful number, since it uses less digits than its factorization.

421211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263279 (or 263264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 421211200 is about 20523.4305124655. The cubic root of 421211200 is about 749.6064305439.

Adding to 421211200 its reverse (2112124), we get a palindrome (423323324).

The spelling of 421211200 in words is "four hundred twenty-one million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 263257 526514 1053028 1316285 2106056 2632570 4212112 5265140 6581425 8424224 10530280 13162850 16848448 21060560 26325700 42121120 52651400 84242240 105302800 210605600 421211200