Search a number
-
+
22989240 = 23325193361
BaseRepresentation
bin101011110110…
…0100110111000
31121020222022100
41113230212320
521341123430
62140423400
7366256011
oct127544670
947228270
1022989240
1111a8217a
127847b60
1349bbc01
1430a6008
152041960
hex15ec9b8

22989240 has 96 divisors (see below), whose sum is σ = 78670800. Its totient is φ = 5806080.

The previous prime is 22989217. The next prime is 22989277. The reversal of 22989240 is 4298922.

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

It is a junction number, because it is equal to n+sod(n) for n = 22989195 and 22989204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5160 + ... + 8520.

Almost surely, 222989240 is an apocalyptic number.

22989240 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 22989240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39335400).

22989240 is an abundant number, since it is smaller than the sum of its proper divisors (55681560).

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

22989240 is a wasteful number, since it uses less digits than its factorization.

22989240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 22989240 is about 4794.7095845317. The cubic root of 22989240 is about 284.3423432290.

The spelling of 22989240 in words is "twenty-two million, nine hundred eighty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3361 3420 6722 6840 10083 13444 16805 20166 26888 30249 33610 40332 50415 60498 63859 67220 80664 100830 120996 127718 134440 151245 191577 201660 241992 255436 302490 319295 383154 403320 510872 574731 604980 638590 766308 957885 1149462 1209960 1277180 1532616 1915770 2298924 2554360 2873655 3831540 4597848 5747310 7663080 11494620 22989240