Search a number
-
+
202032230400 = 21233527111373
BaseRepresentation
bin1011110000101000001…
…1110011000000000000
3201022110222021200112000
42330022003303000000
511302230222333100
6232451243504000
720411355423660
oct2741203630000
9638428250460
10202032230400
1178754a21a60
12331a4228000
131608936c780
149ac7d6a1a0
1553c6aa1900
hex2f0a0f3000

202032230400 has 2496 divisors, whose sum is σ = 1010158679040. Its totient is φ = 38220595200.

The previous prime is 202032230383. The next prime is 202032230419. The reversal of 202032230400 is 4032230202.

202032230400 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 32 + 230 + 400 = 666.

202032230400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2767564764 + ... + 2767564836.

Almost surely, 2202032230400 is an apocalyptic number.

202032230400 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 202032230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505079339520).

202032230400 is an abundant number, since it is smaller than the sum of its proper divisors (808126448640).

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

202032230400 is a wasteful number, since it uses less digits than its factorization.

202032230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 202032230400 its reverse (4032230202), we get a palindrome (206064460602).

The spelling of 202032230400 in words is "two hundred two billion, thirty-two million, two hundred thirty thousand, four hundred".