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233820020 = 22573745139
BaseRepresentation
bin11011110111111…
…00111101110100
3121021222021202202
431323330331310
5434324220040
635111324032
75536303010
oct1573747564
9537867682
10233820020
1110aa92495
1266380618
1339598c55
14230a7540
15157da015
hexdefcf74

233820020 has 48 divisors (see below), whose sum is σ = 576347520. Its totient is φ = 77998464.

The previous prime is 233819959. The next prime is 233820031. The reversal of 233820020 is 20028332.

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 = 233819974 and 233820001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17390 + ... + 27749.

It is an arithmetic number, because the mean of its divisors is an integer number (12007240).

Almost surely, 2233820020 is an apocalyptic number.

233820020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233820020 is an abundant number, since it is smaller than the sum of its proper divisors (342527500).

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

233820020 is a wasteful number, since it uses less digits than its factorization.

233820020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45192 (or 45190 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 233820020 is about 15291.1745788216. The cubic root of 233820020 is about 616.0659856508.

Adding to 233820020 its reverse (20028332), we get a palindrome (253848352).

The spelling of 233820020 in words is "two hundred thirty-three million, eight hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 5180 45139 90278 180556 225695 315973 451390 631946 902780 1263892 1579865 1670143 3159730 3340286 6319460 6680572 8350715 11691001 16701430 23382002 33402860 46764004 58455005 116910010 233820020