Search a number
-
+
122125224 = 23313419547
BaseRepresentation
bin1110100011101…
…11101110101000
322111210121022110
413101313232220
5222231001344
620041322320
73012022134
oct721675650
9274717273
10122125224
1162a33541
1234a963a0
131c3bc360
14123103c4
15aac53b9
hex7477ba8

122125224 has 64 divisors (see below), whose sum is σ = 336853440. Its totient is φ = 36656640.

The previous prime is 122125187. The next prime is 122125247. The reversal of 122125224 is 422521221.

It is a self number, because there is not a number n which added to its sum of digits gives 122125224.

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, 8019 + ... + 17565.

It is an arithmetic number, because the mean of its divisors is an integer number (5263335).

Almost surely, 2122125224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122125224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168426720).

122125224 is an abundant number, since it is smaller than the sum of its proper divisors (214728216).

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

122125224 is a wasteful number, since it uses less digits than its factorization.

122125224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9610 (or 9606 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 122125224 is about 11051.0281874584. The cubic root of 122125224 is about 496.1371997318.

Adding to 122125224 its reverse (422521221), we get a palindrome (544646445).

The spelling of 122125224 in words is "one hundred twenty-two million, one hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 2132 3198 4264 6396 9547 12792 19094 28641 38188 57282 76376 114564 124111 229128 248222 372333 391427 496444 744666 782854 992888 1174281 1489332 1565708 2348562 2978664 3131416 4697124 5088551 9394248 10177102 15265653 20354204 30531306 40708408 61062612 122125224