Search a number
-
+
23122080 = 2532516057
BaseRepresentation
bin101100000110…
…1000010100000
31121111201112100
41120031002200
521404401310
62143330400
7400351212
oct130150240
947451470
1023122080
1112062a63
1278b0a00
134a37507
1430dc5b2
15206aec0
hex160d0a0

23122080 has 72 divisors (see below), whose sum is σ = 78909012. Its totient is φ = 6165504.

The previous prime is 23122079. The next prime is 23122081. The reversal of 23122080 is 8022132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23122079) and next prime (23122081).

It can be written as a sum of positive squares in 2 ways, for example, as 22924944 + 197136 = 4788^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23122081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6589 + ... + 9468.

Almost surely, 223122080 is an apocalyptic number.

23122080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23122080 is an abundant number, since it is smaller than the sum of its proper divisors (55786932).

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

23122080 is a wasteful number, since it uses less digits than its factorization.

23122080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16078 (or 16067 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 23122080 is about 4808.5423986901. The cubic root of 23122080 is about 284.8889687534. Note that the first 3 decimals are identical.

The spelling of 23122080 in words is "twenty-three million, one hundred twenty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 16057 32114 48171 64228 80285 96342 128456 144513 160570 192684 240855 256912 289026 321140 385368 481710 513824 578052 642280 722565 770736 963420 1156104 1284560 1445130 1541472 1926840 2312208 2569120 2890260 3853680 4624416 5780520 7707360 11561040 23122080