[go: up one dir, main page]

Search a number
-
+
22770748 = 2271131347
BaseRepresentation
bin101011011011…
…1010000111100
31120211212121001
41112313100330
521312130443
62132020044
7364356010
oct126672074
946755531
1022770748
1111943000
127761624
134943620
14304a540
151eebd4d
hex15b743c

22770748 has 96 divisors (see below), whose sum is σ = 55093248. Its totient is φ = 8015040.

The previous prime is 22770733. The next prime is 22770749. The reversal of 22770748 is 84707722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22770749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484461 + ... + 484507.

It is an arithmetic number, because the mean of its divisors is an integer number (573888).

Almost surely, 222770748 is an apocalyptic number.

22770748 is a gapful number since it is divisible by the number (28) 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 22770748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27546624).

22770748 is an abundant number, since it is smaller than the sum of its proper divisors (32322500).

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

22770748 is a wasteful number, since it uses less digits than its factorization.

22770748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 37.

The square root of 22770748 is about 4771.8704927942. The cubic root of 22770748 is about 283.4386684086.

The spelling of 22770748 in words is "twenty-two million, seven hundred seventy thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 47 52 77 91 94 121 143 154 182 188 242 286 308 329 364 484 517 572 611 658 847 1001 1034 1222 1316 1331 1573 1694 2002 2068 2444 2662 3146 3388 3619 4004 4277 5324 5687 6292 6721 7238 8554 9317 11011 11374 13442 14476 17108 17303 18634 22022 22748 26884 34606 37268 39809 44044 47047 62557 69212 73931 79618 94094 121121 125114 147862 159236 188188 242242 250228 295724 437899 484484 517517 813241 875798 1035034 1626482 1751596 2070068 3252964 5692687 11385374 22770748