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830922300 = 223452132607
BaseRepresentation
bin110001100001101…
…101111000111100
32010220112020010000
4301201231320330
53200204003200
6214241314300
726406502665
oct6141557074
92126466100
10830922300
1139704124a
121b2335990
131031bb900
147c4d836c
154ce34300
hex3186de3c

830922300 has 270 divisors, whose sum is σ = 2921458848. Its totient is φ = 204197760.

The previous prime is 830922293. The next prime is 830922319. The reversal of 830922300 is 3229038.

It is a tau number, because it is divible by the number of its divisors (270).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1368597 + ... + 1369203.

Almost surely, 2830922300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830922300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460729424).

830922300 is an abundant number, since it is smaller than the sum of its proper divisors (2090536548).

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

830922300 is a wasteful number, since it uses less digits than its factorization.

830922300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 830922300 is about 28825.7228877265. The cubic root of 830922300 is about 940.1276045270.

The spelling of 830922300 in words is "eight hundred thirty million, nine hundred twenty-two thousand, three hundred".