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232506020 = 225591031913
BaseRepresentation
bin11011101101111…
…00001010100100
3121012111112022002
431312330022210
5434010143040
635023224432
75522161055
oct1566741244
9535445262
10232506020
1110a27523a
1265a48118
1339228b36
1422c4472c
151562aa15
hexddbc2a4

232506020 has 48 divisors (see below), whose sum is σ = 501621120. Its totient is φ = 90491136.

The previous prime is 232505989. The next prime is 232506023. The reversal of 232506020 is 20605232.

232506020 = 4532 + 4542 + ... + 9242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 232505983 and 232506001.

It is not an unprimeable number, because it can be changed into a prime (232506023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120584 + ... + 122496.

It is an arithmetic number, because the mean of its divisors is an integer number (10450440).

Almost surely, 2232506020 is an apocalyptic number.

232506020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232506020 is an abundant number, since it is smaller than the sum of its proper divisors (269115100).

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

232506020 is a wasteful number, since it uses less digits than its factorization.

232506020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 232506020 is about 15248.1480842757. The cubic root of 232506020 is about 614.9097803188.

The spelling of 232506020 in words is "two hundred thirty-two million, five hundred six thousand, twenty".

Divisors: 1 2 4 5 10 20 59 103 118 206 236 295 412 515 590 1030 1180 1913 2060 3826 6077 7652 9565 12154 19130 24308 30385 38260 60770 112867 121540 197039 225734 394078 451468 564335 788156 985195 1128670 1970390 2257340 3940780 11625301 23250602 46501204 58126505 116253010 232506020