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233012320 = 25513111117
BaseRepresentation
bin11011110001101…
…11110001100000
3121020110020210221
431320313301200
5434122343240
635042132424
75526400132
oct1570676140
9536406727
10233012320
1110a590672
1266051114
1339375418
1422d37052
15156caa4a
hexde37c60

233012320 has 48 divisors (see below), whose sum is σ = 554743728. Its totient is φ = 92485120.

The previous prime is 233012281. The next prime is 233012359. The reversal of 233012320 is 23210332.

233012320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233012281) and next prime (233012359).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 233012294 and 233012303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15402 + ... + 26518.

It is an arithmetic number, because the mean of its divisors is an integer number (11557161).

Almost surely, 2233012320 is an apocalyptic number.

233012320 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 233012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277371864).

233012320 is an abundant number, since it is smaller than the sum of its proper divisors (321731408).

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

233012320 is a wasteful number, since it uses less digits than its factorization.

233012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11263 (or 11255 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 233012320 is about 15264.7410721571. The cubic root of 233012320 is about 615.3557947400.

Adding to 233012320 its reverse (23210332), we get a palindrome (256222652).

It can be divided in two parts, 233012 and 320, that added together give a palindrome (233332).

The spelling of 233012320 in words is "two hundred thirty-three million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 262 524 655 1048 1310 2096 2620 4192 5240 10480 11117 20960 22234 44468 55585 88936 111170 177872 222340 355744 444680 889360 1456327 1778720 2912654 5825308 7281635 11650616 14563270 23301232 29126540 46602464 58253080 116506160 233012320