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233011220 = 225132713307
BaseRepresentation
bin11011110001101…
…11100000010100
3121020110012022012
431320313200110
5434122324340
635042123352
75526364001
oct1570674024
9536405265
10233011220
1110a58a862
1266050558
1339374a80
1422d368a8
15156ca565
hexde37814

233011220 has 48 divisors (see below), whose sum is σ = 529068288. Its totient is φ = 85691520.

The previous prime is 233011217. The next prime is 233011243. The reversal of 233011220 is 22110332.

It is a happy number.

233011220 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 233011195 and 233011204.

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, 68807 + ... + 72113.

It is an arithmetic number, because the mean of its divisors is an integer number (11022256).

Almost surely, 2233011220 is an apocalyptic number.

233011220 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 233011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264534144).

233011220 is an abundant number, since it is smaller than the sum of its proper divisors (296057068).

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

233011220 is a wasteful number, since it uses less digits than its factorization.

233011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 233011220 is about 15264.7050413691. The cubic root of 233011220 is about 615.3548264186.

Adding to 233011220 its reverse (22110332), we get a palindrome (255121552).

The spelling of 233011220 in words is "two hundred thirty-three million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 271 542 1084 1355 2710 3307 3523 5420 6614 7046 13228 14092 16535 17615 33070 35230 42991 66140 70460 85982 171964 214955 429910 859820 896197 1792394 3584788 4480985 8961970 11650561 17923940 23301122 46602244 58252805 116505610 233011220