Search a number
-
+
22900248 = 2332726491
BaseRepresentation
bin101011101011…
…0111000011000
31121002110020100
41113112320120
521330301443
62134455400
7365435400
oct127267030
947073210
1022900248
1111a21328
127804560
13498a557
143081800
1520253d3
hex15d6e18

22900248 has 72 divisors (see below), whose sum is σ = 72158580. Its totient is φ = 6541920.

The previous prime is 22900219. The next prime is 22900253. The reversal of 22900248 is 84200922.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 283 + ... + 6773.

Almost surely, 222900248 is an apocalyptic number.

22900248 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 22900248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36079290).

22900248 is an abundant number, since it is smaller than the sum of its proper divisors (49258332).

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

22900248 is a wasteful number, since it uses less digits than its factorization.

22900248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6517 (or 6503 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22900248 is about 4785.4203577115. The cubic root of 22900248 is about 283.9749696911.

The spelling of 22900248 in words is "twenty-two million, nine hundred thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 6491 12982 19473 25964 38946 45437 51928 58419 77892 90874 116838 136311 155784 181748 233676 272622 318059 363496 408933 467352 545244 636118 817866 954177 1090488 1272236 1635732 1908354 2544472 2862531 3271464 3816708 5725062 7633416 11450124 22900248