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232428420 = 223357173617
BaseRepresentation
bin11011101101010…
…01001110000100
3121012100120212000
431312221032010
5434000202140
635021425300
75521415610
oct1566511604
9535316760
10232428420
1110a221a04
1265a0b230
13391cc713
1422c24340
1515612a30
hexdda9384

232428420 has 192 divisors, whose sum is σ = 875266560. Its totient is φ = 49987584.

The previous prime is 232428419. The next prime is 232428481. The reversal of 232428420 is 24824232.

232428420 is a `hidden beast` number, since 232 + 4 + 2 + 8 + 420 = 666.

232428420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 62452 + ... + 66068.

It is an arithmetic number, because the mean of its divisors is an integer number (4558680).

Almost surely, 2232428420 is an apocalyptic number.

232428420 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 232428420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437633280).

232428420 is an abundant number, since it is smaller than the sum of its proper divisors (642838140).

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

232428420 is a wasteful number, since it uses less digits than its factorization.

232428420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 232428420 is about 15245.6033006241. The cubic root of 232428420 is about 614.8413630099.

The spelling of 232428420 in words is "two hundred thirty-two million, four hundred twenty-eight thousand, four hundred twenty".