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233103020 = 22519619991
BaseRepresentation
bin11011110010011…
…01111010101100
3121020121212020012
431321031322230
5434133244040
635044112352
75530225433
oct1571157254
9536555205
10233103020
1110a642827
12660956b8
13393a77a7
1422d5c11a
15156e7865
hexde4deac

233103020 has 48 divisors (see below), whose sum is σ = 516633600. Its totient is φ = 88102080.

The previous prime is 233102959. The next prime is 233103023. The reversal of 233103020 is 20301332.

It is a junction number, because it is equal to n+sod(n) for n = 233102986 and 233103004.

It is not an unprimeable number, because it can be changed into a prime (233103023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234725 + ... + 235715.

It is an arithmetic number, because the mean of its divisors is an integer number (10763200).

Almost surely, 2233103020 is an apocalyptic number.

233103020 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 233103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258316800).

233103020 is an abundant number, since it is smaller than the sum of its proper divisors (283530580).

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

233103020 is a wasteful number, since it uses less digits than its factorization.

233103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 233103020 is about 15267.7116818468. The cubic root of 233103020 is about 615.4356267569.

Adding to 233103020 its reverse (20301332), we get a palindrome (253404352).

The spelling of 233103020 in words is "two hundred thirty-three million, one hundred three thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 619 991 1238 1982 2476 3095 3964 4955 6190 9910 11761 12380 18829 19820 23522 37658 47044 58805 75316 94145 117610 188290 235220 376580 613429 1226858 2453716 3067145 6134290 11655151 12268580 23310302 46620604 58275755 116551510 233103020