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232400020 = 225195991021
BaseRepresentation
bin11011101101000…
…10010010010100
3121012022010220011
431312202102110
5433443300040
635021050004
75521240036
oct1566422224
9535263804
10232400020
1110a202636
12659b6904
13391bc808
1422c17c56
15156093ea
hexdda2494

232400020 has 48 divisors (see below), whose sum is σ = 515088000. Its totient is φ = 87834240.

The previous prime is 232400017. The next prime is 232400029. The reversal of 232400020 is 20004232.

232400020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232400029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227110 + ... + 228130.

It is an arithmetic number, because the mean of its divisors is an integer number (10731000).

Almost surely, 2232400020 is an apocalyptic number.

232400020 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 232400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257544000).

232400020 is an abundant number, since it is smaller than the sum of its proper divisors (282687980).

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

232400020 is a wasteful number, since it uses less digits than its factorization.

232400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 232400020 is about 15244.6718560945. The cubic root of 232400020 is about 614.8163198791.

Adding to 232400020 its reverse (20004232), we get a palindrome (252404252).

The spelling of 232400020 in words is "two hundred thirty-two million, four hundred thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 599 1021 1198 2042 2396 2995 4084 5105 5990 10210 11381 11980 19399 20420 22762 38798 45524 56905 77596 96995 113810 193990 227620 387980 611579 1223158 2446316 3057895 6115790 11620001 12231580 23240002 46480004 58100005 116200010 232400020