Search a number
-
+
22885440 = 263531769
BaseRepresentation
bin101011101001…
…1010001000000
31121001200220220
41113103101000
521324313230
62134303040
7365344254
oct127232100
947050826
1022885440
1111a11196
1277b7a80
1349838a6
14307a264
152020d10
hex15d3440

22885440 has 112 divisors (see below), whose sum is σ = 75102720. Its totient is φ = 5898240.

The previous prime is 22885433. The next prime is 22885469. The reversal of 22885440 is 4458822.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29376 + ... + 30144.

It is an arithmetic number, because the mean of its divisors is an integer number (670560).

Almost surely, 222885440 is an apocalyptic number.

22885440 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 22885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37551360).

22885440 is an abundant number, since it is smaller than the sum of its proper divisors (52217280).

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

22885440 is a wasteful number, since it uses less digits than its factorization.

22885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 22885440 is about 4783.8729080108. The cubic root of 22885440 is about 283.9137475294.

The spelling of 22885440 in words is "twenty-two million, eight hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 769 930 960 992 1240 1488 1538 1860 1984 2307 2480 2976 3076 3720 3845 4614 4960 5952 6152 7440 7690 9228 9920 11535 12304 14880 15380 18456 23070 23839 24608 29760 30760 36912 46140 47678 49216 61520 71517 73824 92280 95356 119195 123040 143034 147648 184560 190712 238390 246080 286068 357585 369120 381424 476780 572136 715170 738240 762848 953560 1144272 1430340 1525696 1907120 2288544 2860680 3814240 4577088 5721360 7628480 11442720 22885440