Search a number
-
+
332295596220 = 2235723715719457
BaseRepresentation
bin1001101010111100101…
…11000110100010111100
31011202201020210022010110
410311132113012202330
520421020133034340
6412353211510020
733002410651500
oct4653627064274
91152636708113
10332295596220
11118a20223795
1254499158310
1325448986563
14121243d0300
15899cad9680
hex4d5e5c68bc

332295596220 has 288 divisors, whose sum is σ = 1118724167232. Its totient is φ = 73426010112.

The previous prime is 332295596197. The next prime is 332295596231. The reversal of 332295596220 is 22695592233.

It is a super-2 number, since 2×3322955962202 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332295596220.

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, 17068732 + ... + 17088188.

It is an arithmetic number, because the mean of its divisors is an integer number (3884458914).

Almost surely, 2332295596220 is an apocalyptic number.

332295596220 is a gapful number since it is divisible by the number (30) 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 332295596220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559362083616).

332295596220 is an abundant number, since it is smaller than the sum of its proper divisors (786428571012).

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

332295596220 is a wasteful number, since it uses less digits than its factorization.

332295596220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19677 (or 19668 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 48.

The spelling of 332295596220 in words is "three hundred thirty-two billion, two hundred ninety-five million, five hundred ninety-six thousand, two hundred twenty".