Search a number
-
+
122022160 = 24513117329
BaseRepresentation
bin1110100010111…
…10100100010000
322111121100221021
413101132210100
5222214202120
620035205224
73011112511
oct721364420
9274540837
10122022160
1162973067
1234a46814
131c384480
14122c4a08
15aaa4aaa
hex745e910

122022160 has 40 divisors (see below), whose sum is σ = 305527320. Its totient is φ = 45053952.

The previous prime is 122022139. The next prime is 122022163. The reversal of 122022160 is 61220221.

122022160 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 4343056 + 117679104 = 2084^2 + 10848^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (122022163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57625 + ... + 59704.

It is an arithmetic number, because the mean of its divisors is an integer number (7638183).

Almost surely, 2122022160 is an apocalyptic number.

122022160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022160 is an abundant number, since it is smaller than the sum of its proper divisors (183505160).

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

122022160 is a wasteful number, since it uses less digits than its factorization.

122022160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117355 (or 117349 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 122022160 is about 11046.3641077053. The cubic root of 122022160 is about 495.9975936408.

Adding to 122022160 its reverse (61220221), we get a palindrome (183242381).

The spelling of 122022160 in words is "one hundred twenty-two million, twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 117329 234658 469316 586645 938632 1173290 1525277 1877264 2346580 3050554 4693160 6101108 7626385 9386320 12202216 15252770 24404432 30505540 61011080 122022160