Search a number
-
+
22573700 = 2252376101
BaseRepresentation
bin101011000011…
…1001010000100
31120110212021222
41112013022010
521234324300
62123455512
7362605352
oct126071204
946425258
1022573700
1111818a56
127687598
1348a4a26
142dd87d2
151ead785
hex1587284

22573700 has 36 divisors (see below), whose sum is σ = 50317092. Its totient is φ = 8784000.

The previous prime is 22573679. The next prime is 22573703. The reversal of 22573700 is 737522.

It can be written as a sum of positive squares in 6 ways, for example, as 521284 + 22052416 = 722^2 + 4696^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22573700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22573703) 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, 650 + ... + 6750.

It is an arithmetic number, because the mean of its divisors is an integer number (1397697).

Almost surely, 222573700 is an apocalyptic number.

22573700 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 22573700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25158546).

22573700 is an abundant number, since it is smaller than the sum of its proper divisors (27743392).

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

22573700 is a wasteful number, since it uses less digits than its factorization.

22573700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6152 (or 6145 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 26.

The square root of 22573700 is about 4751.1788010977. The cubic root of 22573700 is about 282.6187143005.

The spelling of 22573700 in words is "twenty-two million, five hundred seventy-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 6101 12202 24404 30505 61010 122020 152525 225737 305050 451474 610100 902948 1128685 2257370 4514740 5643425 11286850 22573700