Search a number
-
+
122323152 = 2437536869
BaseRepresentation
bin1110100101010…
…00000011010000
322112011122211010
413102220003100
5222303320102
620045450520
73013505160
oct722500320
9275148733
10122323152
1163059216
1234b70a40
131c45b483
14123625a0
15ab13d6c
hex74a80d0

122323152 has 80 divisors (see below), whose sum is σ = 368012160. Its totient is φ = 34285056.

The previous prime is 122323151. The next prime is 122323153. The reversal of 122323152 is 251323221.

It is an interprime number because it is at equal distance from previous prime (122323151) and next prime (122323153).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122323151) 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, 14374 + ... + 21242.

It is an arithmetic number, because the mean of its divisors is an integer number (4600152).

Almost surely, 2122323152 is an apocalyptic number.

122323152 is a gapful number since it is divisible by the number (12) 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 122323152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184006080).

122323152 is an abundant number, since it is smaller than the sum of its proper divisors (245689008).

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

122323152 is a wasteful number, since it uses less digits than its factorization.

122323152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6940 (or 6934 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 122323152 is about 11059.9797468169. The cubic root of 122323152 is about 496.4050844424.

Adding to 122323152 its reverse (251323221), we get a palindrome (373646373).

The spelling of 122323152 in words is "one hundred twenty-two million, three hundred twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2226 2544 2968 4452 5936 6869 8904 13738 17808 20607 27476 41214 48083 54952 82428 96166 109904 144249 164856 192332 288498 329712 364057 384664 576996 728114 769328 1092171 1153992 1456228 2184342 2307984 2548399 2912456 4368684 5096798 5824912 7645197 8737368 10193596 15290394 17474736 20387192 30580788 40774384 61161576 122323152