Search a number
-
+
22552740 = 22325722557
BaseRepresentation
bin101011000001…
…0000010100100
31120102210112200
41112002002210
521233141430
62123214500
7362460300
oct126020244
946383480
1022552740
1111804231
127677430
134898322
142dd0d00
151ea7460
hex15820a4

22552740 has 108 divisors (see below), whose sum is σ = 79610076. Its totient is φ = 5152896.

The previous prime is 22552723. The next prime is 22552741. The reversal of 22552740 is 4725522.

It can be written as a sum of positive squares in 2 ways, for example, as 8892324 + 13660416 = 2982^2 + 3696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22552741) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7542 + ... + 10098.

Almost surely, 222552740 is an apocalyptic number.

22552740 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 22552740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39805038).

22552740 is an abundant number, since it is smaller than the sum of its proper divisors (57057336).

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

22552740 is a wasteful number, since it uses less digits than its factorization.

22552740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 22552740 is about 4748.9725204511. The cubic root of 22552740 is about 282.5312153880.

The spelling of 22552740 in words is "twenty-two million, five hundred fifty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2557 2940 4410 5114 7671 8820 10228 12785 15342 17899 23013 25570 30684 35798 38355 46026 51140 53697 71596 76710 89495 92052 107394 115065 125293 153420 161091 178990 214788 230130 250586 268485 322182 357980 375879 460260 501172 536970 626465 644364 751758 805455 1073940 1127637 1252930 1503516 1610910 1879395 2255274 2505860 3221820 3758790 4510548 5638185 7517580 11276370 22552740