Search a number
-
+
223907880 = 23357436199
BaseRepresentation
bin11010101100010…
…01000000101000
3120121022200212110
431112021000220
5424310023010
634115042320
75356120440
oct1526110050
9517280773
10223907880
11105432339
1262ba03a0
1337508391
1421a47120
15149cd120
hexd589028

223907880 has 128 divisors (see below), whose sum is σ = 785664000. Its totient is φ = 49980672.

The previous prime is 223907857. The next prime is 223907899. The reversal of 223907880 is 88709322.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33021 + ... + 39219.

It is an arithmetic number, because the mean of its divisors is an integer number (6138000).

Almost surely, 2223907880 is an apocalyptic number.

223907880 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 223907880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392832000).

223907880 is an abundant number, since it is smaller than the sum of its proper divisors (561756120).

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

223907880 is a wasteful number, since it uses less digits than its factorization.

223907880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6263 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 223907880 is about 14963.5517174232. The cubic root of 223907880 is about 607.2345298123.

The spelling of 223907880 in words is "two hundred twenty-three million, nine hundred seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 56 60 70 84 86 105 120 129 140 168 172 210 215 258 280 301 344 420 430 516 602 645 840 860 903 1032 1204 1290 1505 1720 1806 2408 2580 3010 3612 4515 5160 6020 6199 7224 9030 12040 12398 18060 18597 24796 30995 36120 37194 43393 49592 61990 74388 86786 92985 123980 130179 148776 173572 185970 216965 247960 260358 266557 347144 371940 433930 520716 533114 650895 743880 799671 867860 1041432 1066228 1301790 1332785 1599342 1735720 1865899 2132456 2603580 2665570 3198684 3731798 3998355 5207160 5331140 5597697 6397368 7463596 7996710 9329495 10662280 11195394 14927192 15993420 18658990 22390788 27988485 31986840 37317980 44781576 55976970 74635960 111953940 223907880