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233012020 = 22541284161
BaseRepresentation
bin11011110001101…
…11101100110100
3121020110020101211
431320313230310
5434122341040
635042131204
75526366223
oct1570675464
9536406354
10233012020
1110a59041a
1266050b04
1339375247
1422d36cba
15156ca8ea
hexde37b34

233012020 has 24 divisors (see below), whose sum is σ = 501261768. Its totient is φ = 90931200.

The previous prime is 233011993. The next prime is 233012023. The reversal of 233012020 is 20210332.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5484964 + 227527056 = 2342^2 + 15084^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233012023) 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 7 ways as a sum of consecutive naturals, for example, 141261 + ... + 142900.

It is an arithmetic number, because the mean of its divisors is an integer number (20885907).

Almost surely, 2233012020 is an apocalyptic number.

233012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233012020 is an abundant number, since it is smaller than the sum of its proper divisors (268249748).

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

233012020 is a wasteful number, since it uses less digits than its factorization.

233012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284211 (or 284209 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 233012020 is about 15264.7312455870. The cubic root of 233012020 is about 615.3555306526.

Adding to 233012020 its reverse (20210332), we get a palindrome (253222352).

The spelling of 233012020 in words is "two hundred thirty-three million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 284161 568322 1136644 1420805 2841610 5683220 11650601 23301202 46602404 58253005 116506010 233012020