Search a number
-
+
22291776 = 2632132229
BaseRepresentation
bin101010100001…
…0010101000000
31112221112120100
41111002111000
521201314101
62113442400
7360322413
oct125022500
945845510
1022291776
1111646161
127570400
134806600
142d63b7a
151e54e86
hex1542540

22291776 has 126 divisors (see below), whose sum is σ = 69490590. Its totient is φ = 6829056.

The previous prime is 22291739. The next prime is 22291813. The reversal of 22291776 is 67719222.

It is an interprime number because it is at equal distance from previous prime (22291739) and next prime (22291813).

It can be written as a sum of positive squares in 3 ways, for example, as 1498176 + 20793600 = 1224^2 + 4560^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22291776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97230 + ... + 97458.

Almost surely, 222291776 is an apocalyptic number.

22291776 is a gapful number since it is divisible by the number (26) 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 22291776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34745295).

22291776 is an abundant number, since it is smaller than the sum of its proper divisors (47198814).

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

22291776 is a wasteful number, since it uses less digits than its factorization.

22291776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 247 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 22291776 is about 4721.4167365315. The cubic root of 22291776 is about 281.4372359168.

It can be divided in two parts, 2229 and 1776, that added together give a triangular number (4005 = T89).

The spelling of 22291776 in words is "twenty-two million, two hundred ninety-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 229 234 288 312 338 416 458 468 507 576 624 676 687 832 916 936 1014 1248 1352 1374 1521 1832 1872 2028 2061 2496 2704 2748 2977 3042 3664 3744 4056 4122 5408 5496 5954 6084 7328 7488 8112 8244 8931 10816 10992 11908 12168 14656 16224 16488 17862 21984 23816 24336 26793 32448 32976 35724 38701 43968 47632 48672 53586 65952 71448 77402 95264 97344 107172 116103 131904 142896 154804 190528 214344 232206 285792 309608 348309 428688 464412 571584 619216 696618 857376 928824 1238432 1393236 1714752 1857648 2476864 2786472 3715296 5572944 7430592 11145888 22291776