Search a number
-
+
223133132200 = 2352116114911159
BaseRepresentation
bin1100111111001111000…
…1010110010110101000
3210022221112100120010111
43033303301112112220
512123434040212300
6250301141224104
722056306221056
oct3176361262650
9708845316114
10223133132200
11866a2921880
12372b2a02034
131806cb52694
14ab2a5471d6
155c0e2d09ba
hex33f3c565a8

223133132200 has 192 divisors, whose sum is σ = 579137040000. Its totient is φ = 79266432000.

The previous prime is 223133132191. The next prime is 223133132297. The reversal of 223133132200 is 2231331322.

It is a super-3 number, since 3×2231331322003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19990221 + ... + 20001379.

It is an arithmetic number, because the mean of its divisors is an integer number (3016338750).

Almost surely, 2223133132200 is an apocalyptic number.

223133132200 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 223133132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289568520000).

223133132200 is an abundant number, since it is smaller than the sum of its proper divisors (356003907800).

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

223133132200 is a wasteful number, since it uses less digits than its factorization.

223133132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11396 (or 11387 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 223133132200 its reverse (2231331322), we get a palindrome (225364463522).

223133132200 divided by its reverse (2231331322) gives a square (100 = 102).

It can be divided in two parts, 22313 and 3132200, that added together give a palindrome (3154513).

The spelling of 223133132200 in words is "two hundred twenty-three billion, one hundred thirty-three million, one hundred thirty-two thousand, two hundred".