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233100020 = 225137241353
BaseRepresentation
bin11011110010011…
…01001011110100
3121020121201010002
431321031023310
5434133200040
635044050432
75530213616
oct1571151364
9536551102
10233100020
1110a64054a
1266093a18
13393a630a
1422d5adb6
15156e6a15
hexde4d2f4

233100020 has 48 divisors (see below), whose sum is σ = 496531728. Its totient is φ = 91914240.

The previous prime is 233100017. The next prime is 233100031. The reversal of 233100020 is 20001332.

It can be written as a sum of positive squares in 8 ways, for example, as 781456 + 232318564 = 884^2 + 15242^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233099974 and 233100010.

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, 660164 + ... + 660516.

It is an arithmetic number, because the mean of its divisors is an integer number (10344411).

Almost surely, 2233100020 is an apocalyptic number.

233100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233100020 is an abundant number, since it is smaller than the sum of its proper divisors (263431708).

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

233100020 is a wasteful number, since it uses less digits than its factorization.

233100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 233100020 is about 15267.6134349806. The cubic root of 233100020 is about 615.4329865584.

Adding to 233100020 its reverse (20001332), we get a palindrome (253101352).

The spelling of 233100020 in words is "two hundred thirty-three million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 137 241 274 353 482 548 685 706 964 1205 1370 1412 1765 2410 2740 3530 4820 7060 33017 48361 66034 85073 96722 132068 165085 170146 193444 241805 330170 340292 425365 483610 660340 850730 967220 1701460 11655001 23310002 46620004 58275005 116550010 233100020