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30223351800 = 23345259103307
BaseRepresentation
bin11100001001011100…
…111011111111111000
32220000022120100110000
4130021130323333320
5443344134224200
621515011153000
72116651152165
oct341134737770
986008510400
1030223351800
11118aa3265a4
125a358a5760
132b08737325
141669d8906c
15bbd547300
hex70973bff8

30223351800 has 480 divisors, whose sum is σ = 108136828800. Its totient is φ = 7820478720.

The previous prime is 30223351799. The next prime is 30223351841. The reversal of 30223351800 is 815332203.

30223351800 is a `hidden beast` number, since 302 + 2 + 3 + 351 + 8 + 0 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 98447247 + ... + 98447553.

It is an arithmetic number, because the mean of its divisors is an integer number (225285060).

Almost surely, 230223351800 is an apocalyptic number.

30223351800 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 30223351800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54068414400).

30223351800 is an abundant number, since it is smaller than the sum of its proper divisors (77913477000).

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

30223351800 is a wasteful number, since it uses less digits than its factorization.

30223351800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 30223351800 in words is "thirty billion, two hundred twenty-three million, three hundred fifty-one thousand, eight hundred".