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233024220 = 2232511213823
BaseRepresentation
bin11011110001110…
…10101011011100
3121020110212010200
431320322223130
5434123233340
635042303500
75526446622
oct1570725334
9536425120
10233024220
1110a599600
1266057b90
133937a970
1422d3b512
15156ce330
hexde3aadc

233024220 has 216 divisors, whose sum is σ = 837721248. Its totient is φ = 52081920.

The previous prime is 233024203. The next prime is 233024221. The reversal of 233024220 is 22420332.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 233024193 and 233024202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233024221) 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 71 ways as a sum of consecutive naturals, for example, 282729 + ... + 283551.

Almost surely, 2233024220 is an apocalyptic number.

233024220 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 233024220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418860624).

233024220 is an abundant number, since it is smaller than the sum of its proper divisors (604697028).

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

233024220 is a wasteful number, since it uses less digits than its factorization.

233024220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 233024220 is about 15265.1308543360. The cubic root of 233024220 is about 615.3662700220.

Adding to 233024220 its reverse (22420332), we get a palindrome (255444552).

The spelling of 233024220 in words is "two hundred thirty-three million, twenty-four thousand, two hundred twenty".