Search a number
-
+
122435144 = 23135692069
BaseRepresentation
bin1110100110000…
…11011001001000
322112101100102222
413103003121020
5222320411034
620052113212
73014452526
oct723033110
9275340388
10122435144
1163125377
1235005808
131c49a440
1412391316
15ab3712e
hex74c3648

122435144 has 32 divisors (see below), whose sum is σ = 247779000. Its totient is φ = 56381952.

The previous prime is 122435123. The next prime is 122435167. The reversal of 122435144 is 441534221.

It can be written as a sum of positive squares in 4 ways, for example, as 40170244 + 82264900 = 6338^2 + 9070^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58142 + ... + 60210.

Almost surely, 2122435144 is an apocalyptic number.

It is an amenable number.

122435144 is an abundant number, since it is smaller than the sum of its proper divisors (125343856).

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

122435144 is a wasteful number, since it uses less digits than its factorization.

122435144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2653 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 122435144 is about 11065.0415272605. The cubic root of 122435144 is about 496.5565314904.

Adding to 122435144 its reverse (441534221), we get a palindrome (563969365).

The spelling of 122435144 in words is "one hundred twenty-two million, four hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 569 1138 2069 2276 4138 4552 7397 8276 14794 16552 26897 29588 53794 59176 107588 215176 1177261 2354522 4709044 9418088 15304393 30608786 61217572 122435144