Search a number
-
+
133223610 = 235131133023
BaseRepresentation
bin1111111000011…
…01010010111010
3100021200110102210
413330031102322
5233101123420
621115235550
73205245012
oct774152272
9307613383
10133223610
1169223963
1238748bb6
13217a6b50
141399cc42
15ba689e0
hex7f0d4ba

133223610 has 64 divisors (see below), whose sum is σ = 347493888. Its totient is φ = 32492544.

The previous prime is 133223579. The next prime is 133223617. The reversal of 133223610 is 16322331.

It is a super-2 number, since 2×1332236102 = 35497060522864200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133223617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42559 + ... + 45581.

It is an arithmetic number, because the mean of its divisors is an integer number (5429592).

Almost surely, 2133223610 is an apocalyptic number.

133223610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133223610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173746944).

133223610 is an abundant number, since it is smaller than the sum of its proper divisors (214270278).

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

133223610 is a wasteful number, since it uses less digits than its factorization.

133223610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 133223610 is about 11542.2532462254. The cubic root of 133223610 is about 510.7327797620.

Adding to 133223610 its reverse (16322331), we get a palindrome (149545941).

It can be divided in two parts, 1332 and 23610, that added together give a palindrome (24942).

The spelling of 133223610 in words is "one hundred thirty-three million, two hundred twenty-three thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 113 130 195 226 339 390 565 678 1130 1469 1695 2938 3023 3390 4407 6046 7345 8814 9069 14690 15115 18138 22035 30230 39299 44070 45345 78598 90690 117897 196495 235794 341599 392990 589485 683198 1024797 1178970 1707995 2049594 3415990 4440787 5123985 8881574 10247970 13322361 22203935 26644722 44407870 66611805 133223610