Search a number
-
+
215086650240 = 27357113171661
BaseRepresentation
bin1100100001010000101…
…0011101001110000000
3202120011202110220222010
43020110022131032000
512010444140301430
6242450501212520
721353022235020
oct3102412351600
9676152426863
10215086650240
1183243896890
1235828101140
1317389ab6557
14a5a5a1da80
1558dcba2cb0
hex321429d380

215086650240 has 1024 divisors, whose sum is σ = 896113704960. Its totient is φ = 42577920000.

The previous prime is 215086650193. The next prime is 215086650253. The reversal of 215086650240 is 42056680512.

It is a super-2 number, since 2×2150866502402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 325395510 + ... + 325396170.

It is an arithmetic number, because the mean of its divisors is an integer number (875111040).

Almost surely, 2215086650240 is an apocalyptic number.

215086650240 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 215086650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448056852480).

215086650240 is an abundant number, since it is smaller than the sum of its proper divisors (681027054720).

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

215086650240 is a wasteful number, since it uses less digits than its factorization.

215086650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 215086650240 in words is "two hundred fifteen billion, eighty-six million, six hundred fifty thousand, two hundred forty".