Search a number
-
+
122352336 = 2433614643
BaseRepresentation
bin1110100101011…
…11001011010000
322112020010212000
413102233023100
5222310233321
620050234000
73013656231
oct722571320
9275203760
10122352336
1163079137
1234b85900
131c46b842
141236d088
15ab1c826
hex74af2d0

122352336 has 80 divisors (see below), whose sum is σ = 357030720. Its totient is φ = 40106880.

The previous prime is 122352331. The next prime is 122352337. The reversal of 122352336 is 633253221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122352331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24031 + ... + 28673.

It is an arithmetic number, because the mean of its divisors is an integer number (4462884).

Almost surely, 2122352336 is an apocalyptic number.

122352336 is a gapful number since it is divisible by the number (16) 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 122352336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178515360).

122352336 is an abundant number, since it is smaller than the sum of its proper divisors (234678384).

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

122352336 is a wasteful number, since it uses less digits than its factorization.

122352336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4721 (or 4709 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 122352336 is about 11061.2990195546. The cubic root of 122352336 is about 496.4445589376. Note that the first 3 decimals are identical.

The spelling of 122352336 in words is "one hundred twenty-two million, three hundred fifty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1647 2196 2928 3294 4392 4643 6588 8784 9286 13176 13929 18572 26352 27858 37144 41787 55716 74288 83574 111432 125361 167148 222864 250722 283223 334296 501444 566446 668592 849669 1002888 1132892 1699338 2005776 2265784 2549007 3398676 4531568 5098014 6797352 7647021 10196028 13594704 15294042 20392056 30588084 40784112 61176168 122352336