Search a number
-
+
215332204032 = 29341134783
BaseRepresentation
bin1100100010001011001…
…1001010111000000000
3202120210212112100110000
43020202303022320000
512012000021012112
6242531112240000
721362063351211
oct3104263127000
9676725470400
10215332204032
118335a463000
12358963a0000
13173c893025a
14a5ca49d408
1559045097dc
hex3222ccae00

215332204032 has 800 divisors, whose sum is σ = 730672233984. Its totient is φ = 63094394880.

The previous prime is 215332204019. The next prime is 215332204049. The reversal of 215332204032 is 230402233512.

215332204032 is a `hidden beast` number, since 2 + 1 + 5 + 33 + 220 + 403 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 215332203987 and 215332204005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2594363863 + ... + 2594363945.

Almost surely, 2215332204032 is an apocalyptic number.

215332204032 is a gapful number since it is divisible by the number (22) 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 215332204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365336116992).

215332204032 is an abundant number, since it is smaller than the sum of its proper divisors (515340029952).

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

215332204032 is an frugal number, since it uses more digits than its factorization.

215332204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 215332204032 its reverse (230402233512), we get a palindrome (445734437544).

The spelling of 215332204032 in words is "two hundred fifteen billion, three hundred thirty-two million, two hundred four thousand, thirty-two".