Search a number
-
+
215339980800 = 21135271983127
BaseRepresentation
bin1100100010001101000…
…0110101100000000000
3202120211102011110011110
43020203100311200000
512012004013341200
6242531551043320
721362216431050
oct3104320654000
9676742143143
10215339980800
118336389488a
1235898b10540
13173ca423ba9
14a5cb525560
155905043b50
hex3223435800

215339980800 has 1152 divisors, whose sum is σ = 873544089600. Its totient is φ = 45705461760.

The previous prime is 215339980787. The next prime is 215339980813. The reversal of 215339980800 is 8089933512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (215339980787) and next prime (215339980813).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 215339980800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1695590337 + ... + 1695590463.

It is an arithmetic number, because the mean of its divisors is an integer number (758284800).

Almost surely, 2215339980800 is an apocalyptic number.

215339980800 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 215339980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436772044800).

215339980800 is an abundant number, since it is smaller than the sum of its proper divisors (658204108800).

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

215339980800 is a wasteful number, since it uses less digits than its factorization.

215339980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 215339980800 in words is "two hundred fifteen billion, three hundred thirty-nine million, nine hundred eighty thousand, eight hundred".