Search a number
-
+
22226680 = 2357163487
BaseRepresentation
bin101010011001…
…0011011111000
31112211020021101
41110302123320
521142223210
62112221144
7356631550
oct124623370
945736241
1022226680
1111601263
12753a7b4
1347b2aa8
142d48160
151e40a3a
hex15326f8

22226680 has 64 divisors (see below), whose sum is σ = 57623040. Its totient is φ = 7558272.

The previous prime is 22226641. The next prime is 22226681. The reversal of 22226680 is 8662222.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22226681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45397 + ... + 45883.

It is an arithmetic number, because the mean of its divisors is an integer number (900360).

Almost surely, 222226680 is an apocalyptic number.

22226680 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 22226680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28811520).

22226680 is an abundant number, since it is smaller than the sum of its proper divisors (35396360).

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

22226680 is a wasteful number, since it uses less digits than its factorization.

22226680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 22226680 is about 4714.5180029352. The cubic root of 22226680 is about 281.1630196873.

The spelling of 22226680 in words is "twenty-two million, two hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 163 280 326 487 652 815 974 1141 1304 1630 1948 2282 2435 3260 3409 3896 4564 4870 5705 6520 6818 9128 9740 11410 13636 17045 19480 22820 27272 34090 45640 68180 79381 136360 158762 317524 396905 555667 635048 793810 1111334 1587620 2222668 2778335 3175240 4445336 5556670 11113340 22226680