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30229708032 = 28343123741
BaseRepresentation
bin11100001001110101…
…001011110100000000
32220000202112021120000
4130021311023310000
5443402301124112
621515355320000
72120056164366
oct341165136400
986022467500
1030229708032
1111902978087
125a37a50000
132b09b51504
14166ab61636
15bbdda07dc
hex709d4bd00

30229708032 has 540 divisors, whose sum is σ = 97991500068. Its totient is φ = 9256550400.

The previous prime is 30229708021. The next prime is 30229708037. The reversal of 30229708032 is 23080792203.

It can be written as a sum of positive squares in 2 ways, for example, as 13470852096 + 16758855936 = 116064^2 + 129456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30229708037) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 737309932 + ... + 737309972.

Almost surely, 230229708032 is an apocalyptic number.

30229708032 is a gapful number since it is divisible by the number (32) 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 30229708032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48995750034).

30229708032 is an abundant number, since it is smaller than the sum of its proper divisors (67761792036).

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

30229708032 is an equidigital number, since it uses as much as digits as its factorization.

30229708032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 30229708032 in words is "thirty billion, two hundred twenty-nine million, seven hundred eight thousand, thirty-two".