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82230698880 = 27335111922769
BaseRepresentation
bin100110010010101010…
…1001110001110000000
321212020210120022121000
41030211111032032000
52321402024331010
6101435401132000
75640516256611
oct1144525161600
9255223508530
1082230698880
11319680a4180
1213b2aa8a000
1379a6324595
143da1127c08
1522142517c0
hex132554e380

82230698880 has 512 divisors, whose sum is σ = 334445760000. Its totient is φ = 18884689920.

The previous prime is 82230698863. The next prime is 82230698897. The reversal of 82230698880 is 8889603228.

It is an interprime number because it is at equal distance from previous prime (82230698863) and next prime (82230698897).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3600136 + ... + 3622904.

It is an arithmetic number, because the mean of its divisors is an integer number (653214375).

Almost surely, 282230698880 is an apocalyptic number.

82230698880 is a gapful number since it is divisible by the number (80) 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 82230698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167222880000).

82230698880 is an abundant number, since it is smaller than the sum of its proper divisors (252215061120).

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

82230698880 is a wasteful number, since it uses less digits than its factorization.

82230698880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22827 (or 22809 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 82230698880 in words is "eighty-two billion, two hundred thirty million, six hundred ninety-eight thousand, eight hundred eighty".