[go: up one dir, main page]

Search a number
-
+
22475700 = 2232521317113
BaseRepresentation
bin101010110111…
…1001110110100
31120021212212100
41111233032310
521223210300
62121422100
7362016552
oct125571664
946255770
1022475700
1111761365
12763a930
13486c240
142db0bd2
151e8e700
hex156f3b4

22475700 has 216 divisors, whose sum is σ = 81041688. Its totient is φ = 5160960.

The previous prime is 22475699. The next prime is 22475701. The reversal of 22475700 is 757422.

22475700 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (22475699) and next prime (22475701).

It can be written as a sum of positive squares in 12 ways, for example, as 13972644 + 8503056 = 3738^2 + 2916^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22475701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198844 + ... + 198956.

It is an arithmetic number, because the mean of its divisors is an integer number (375193).

Almost surely, 222475700 is an apocalyptic number.

22475700 is a gapful number since it is divisible by the number (20) 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 22475700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40520844).

22475700 is an abundant number, since it is smaller than the sum of its proper divisors (58565988).

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

22475700 is a wasteful number, since it uses less digits than its factorization.

22475700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 22475700 is about 4740.8543533840. The cubic root of 22475700 is about 282.2091401637.

The spelling of 22475700 in words is "twenty-two million, four hundred seventy-five thousand, seven hundred".