Search a number
-
+
22666240 = 210519233
BaseRepresentation
bin101011001110…
…1110000000000
31120122120020101
41112131300000
521300304430
62125452144
7363442222
oct126356000
946576211
1022666240
1111881533
127711054
134907b9c
143020412
151ecadca
hex159dc00

22666240 has 88 divisors (see below), whose sum is σ = 57479760. Its totient is φ = 8552448.

The previous prime is 22666213. The next prime is 22666249. The reversal of 22666240 is 4266622.

It is a junction number, because it is equal to n+sod(n) for n = 22666199 and 22666208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22666249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97164 + ... + 97396.

Almost surely, 222666240 is an apocalyptic number.

22666240 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 22666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28739880).

22666240 is an abundant number, since it is smaller than the sum of its proper divisors (34813520).

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

22666240 is a wasteful number, since it uses less digits than its factorization.

22666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 22666240 is about 4760.9074765217. The cubic root of 22666240 is about 283.0043825565.

It can be divided in two parts, 226 and 66240, that added together give a palindrome (66466).

The spelling of 22666240 in words is "twenty-two million, six hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 233 256 304 320 380 466 512 608 640 760 932 1024 1165 1216 1280 1520 1864 2330 2432 2560 3040 3728 4427 4660 4864 5120 6080 7456 8854 9320 9728 12160 14912 17708 18640 19456 22135 24320 29824 35416 37280 44270 48640 59648 70832 74560 88540 97280 119296 141664 149120 177080 238592 283328 298240 354160 566656 596480 708320 1133312 1192960 1416640 2266624 2833280 4533248 5666560 11333120 22666240