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232470000 = 243454741
BaseRepresentation
bin11011101101100…
…11010111110000
3121012102200220000
431312303113300
5434003020000
635022350000
75521651050
oct1566632760
9535380800
10232470000
1110a250174
1265a2b300
1339215619
1422c35560
1515620000
hexddb35f0

232470000 has 500 divisors, whose sum is σ = 984322416. Its totient is φ = 51840000.

The previous prime is 232469989. The next prime is 232470011. The reversal of 232470000 is 74232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (232469989) and next prime (232470011).

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 5669980 + ... + 5670020.

Almost surely, 2232470000 is an apocalyptic number.

232470000 is a gapful number since it is divisible by the number (20) 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 232470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492161208).

232470000 is an abundant number, since it is smaller than the sum of its proper divisors (751852416).

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

232470000 is an equidigital number, since it uses as much as digits as its factorization.

232470000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 232470000 is about 15246.9669114877. The cubic root of 232470000 is about 614.8780245902.

The spelling of 232470000 in words is "two hundred thirty-two million, four hundred seventy thousand".