Search a number
-
+
133214424 = 23371316053
BaseRepresentation
bin1111111000010…
…11000011011000
3100021122222211120
413330023003120
5233100330144
621115125240
73205206150
oct774130330
9307588746
10133214424
1169217a72
1238743820
13217a2905
1413999760
15ba65e19
hex7f0b0d8

133214424 has 64 divisors (see below), whose sum is σ = 383581440. Its totient is φ = 37764480.

The previous prime is 133214401. The next prime is 133214443. The reversal of 133214424 is 424412331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133214394 and 133214403.

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, 18982 + ... + 25034.

It is an arithmetic number, because the mean of its divisors is an integer number (5993460).

Almost surely, 2133214424 is an apocalyptic number.

133214424 is a gapful number since it is divisible by the number (14) 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 133214424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191790720).

133214424 is an abundant number, since it is smaller than the sum of its proper divisors (250367016).

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

133214424 is a wasteful number, since it uses less digits than its factorization.

133214424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6200 (or 6196 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 133214424 is about 11541.8553101310. The cubic root of 133214424 is about 510.7210408539.

Adding to 133214424 its reverse (424412331), we get a palindrome (557626755).

The spelling of 133214424 in words is "one hundred thirty-three million, two hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 393 524 786 917 1048 1572 1834 2751 3144 3668 5502 6053 7336 11004 12106 18159 22008 24212 36318 42371 48424 72636 84742 127113 145272 169484 254226 338968 508452 792943 1016904 1585886 2378829 3171772 4757658 5550601 6343544 9515316 11101202 16651803 19030632 22202404 33303606 44404808 66607212 133214424