Search a number
-
+
212032303200 = 253252471314783
BaseRepresentation
bin1100010101111000011…
…1000011000001100000
3202021021220012000111200
43011132013003001200
511433220232200300
6241223432041200
721214233561114
oct3053607030140
9667256160450
10212032303200
1181a16786733
1235115233200
1316cc1084103
14a39610b744
1557ae976200
hex315e1c3060

212032303200 has 432 divisors, whose sum is σ = 769576743936. Its totient is φ = 54905011200.

The previous prime is 212032303183. The next prime is 212032303243. The reversal of 212032303200 is 2303230212.

It is a happy number.

212032303200 is a `hidden beast` number, since 2 + 1 + 20 + 323 + 0 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44328009 + ... + 44332791.

It is an arithmetic number, because the mean of its divisors is an integer number (1781427648).

Almost surely, 2212032303200 is an apocalyptic number.

212032303200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212032303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384788371968).

212032303200 is an abundant number, since it is smaller than the sum of its proper divisors (557544440736).

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

212032303200 is a wasteful number, since it uses less digits than its factorization.

212032303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4987 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 212032303200 its reverse (2303230212), we get a palindrome (214335533412).

The spelling of 212032303200 in words is "two hundred twelve billion, thirty-two million, three hundred three thousand, two hundred".