Search a number
-
+
122382864 = 24321749993
BaseRepresentation
bin1110100101101…
…10101000010000
322112021200201200
413102312220100
5222312222424
620051031200
73014144232
oct722665020
9275250650
10122382864
116309a06a
1234b9b500
131c47c6c6
141237a252
15ab268c9
hex74b6a10

122382864 has 60 divisors (see below), whose sum is σ = 362656476. Its totient is φ = 38393856.

The previous prime is 122382853. The next prime is 122382907. The reversal of 122382864 is 468283221.

It can be written as a sum of positive squares in 2 ways, for example, as 88510464 + 33872400 = 9408^2 + 5820^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22549 + ... + 27444.

Almost surely, 2122382864 is an apocalyptic number.

It is an amenable number.

122382864 is an abundant number, since it is smaller than the sum of its proper divisors (240273612).

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

122382864 is a wasteful number, since it uses less digits than its factorization.

122382864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50024 (or 50015 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 122382864 is about 11062.6788799097. The cubic root of 122382864 is about 496.4858446204.

The spelling of 122382864 in words is "one hundred twenty-two million, three hundred eighty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 49993 99986 149979 199972 299958 399944 449937 599916 799888 849881 899874 1199832 1699762 1799748 2399664 2549643 3399524 3599496 5099286 6799048 7198992 7648929 10198572 13598096 15297858 20397144 30595716 40794288 61191432 122382864