Search a number
-
+
222431160200 = 2352333492
BaseRepresentation
bin1100111100100111101…
…1100010011110001000
3210021010121110200120112
43033021323202132020
512121014334111300
6250103343413452
722033023444344
oct3171173423610
9707117420515
10222431160200
1186372655927
12371378b4288
1317c8a5a2832
14aaa1218624
155bbc86de35
hex33c9ee2788

222431160200 has 36 divisors (see below), whose sum is σ = 517167955215. Its totient is φ = 88969796160.

The previous prime is 222431160169. The next prime is 222431160229. The reversal of 222431160200 is 2061134222.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 202199511556 + 20231648644 = 449666^2 + 142238^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333490.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6653126 + ... + 6686474.

Almost surely, 2222431160200 is an apocalyptic number.

222431160200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222431160200 is an abundant number, since it is smaller than the sum of its proper divisors (294736795015).

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

222431160200 is an frugal number, since it uses more digits than its factorization.

222431160200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66714 (or 33356 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Multiplying 222431160200 by its product of nonzero digits (1152), we get a square (256240696550400 = 160075202).

Adding to 222431160200 its reverse (2061134222), we get a palindrome (224492294422).

The spelling of 222431160200 in words is "two hundred twenty-two billion, four hundred thirty-one million, one hundred sixty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 33349 66698 133396 166745 266792 333490 666980 833725 1333960 1667450 3334900 6669800 1112155801 2224311602 4448623204 5560779005 8897246408 11121558010 22243116020 27803895025 44486232040 55607790050 111215580100 222431160200