Search a number
-
+
233312220 = 223252335563
BaseRepresentation
bin11011110100000…
…00111111011100
3121021000111012100
431322000333130
5434211442340
635052405100
75532056361
oct1572007734
9537014170
10233312220
1110a775a19
1266176790
133944ba8b
1422db4468
1515739830
hexde80fdc

233312220 has 72 divisors (see below), whose sum is σ = 710878896. Its totient is φ = 61938432.

The previous prime is 233312203. The next prime is 233312237. The reversal of 233312220 is 22213332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (233312203) and next prime (233312237).

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 = 233312193 and 233312202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39159 + ... + 44721.

It is an arithmetic number, because the mean of its divisors is an integer number (9873318).

Almost surely, 2233312220 is an apocalyptic number.

233312220 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 233312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355439448).

233312220 is an abundant number, since it is smaller than the sum of its proper divisors (477566676).

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

233312220 is a wasteful number, since it uses less digits than its factorization.

233312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5811 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 233312220 is about 15274.5612048268. The cubic root of 233312220 is about 615.6196807669.

Adding to 233312220 its reverse (22213332), we get a palindrome (255525552).

The spelling of 233312220 in words is "two hundred thirty-three million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 466 699 932 1165 1398 2097 2330 2796 3495 4194 4660 5563 6990 8388 10485 11126 13980 16689 20970 22252 27815 33378 41940 50067 55630 66756 83445 100134 111260 166890 200268 250335 333780 500670 1001340 1296179 2592358 3888537 5184716 6480895 7777074 11665611 12961790 15554148 19442685 23331222 25923580 38885370 46662444 58328055 77770740 116656110 233312220