Search a number
-
+
223660560 = 24353789283
BaseRepresentation
bin11010101010011…
…00101000010000
3120120212010121110
431111030220100
5424224114220
634105453320
75354040414
oct1525145020
9516763543
10223660560
11105283542
1262aa1240
133744c936
14219c0d44
151497ebe0
hexd54ca10

223660560 has 160 divisors (see below), whose sum is σ = 722632320. Its totient is φ = 57176064.

The previous prime is 223660553. The next prime is 223660621. The reversal of 223660560 is 65066322.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 790179 + ... + 790461.

It is an arithmetic number, because the mean of its divisors is an integer number (4516452).

Almost surely, 2223660560 is an apocalyptic number.

223660560 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 223660560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361316160).

223660560 is an abundant number, since it is smaller than the sum of its proper divisors (498971760).

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

223660560 is a wasteful number, since it uses less digits than its factorization.

223660560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 223660560 is about 14955.2853533458. The cubic root of 223660560 is about 607.0108715044.

The spelling of 223660560 in words is "two hundred twenty-three million, six hundred sixty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 89 111 120 148 178 185 222 240 267 283 296 356 370 444 445 534 555 566 592 712 740 849 888 890 1068 1110 1132 1335 1415 1424 1480 1698 1776 1780 2136 2220 2264 2670 2830 2960 3293 3396 3560 4245 4272 4440 4528 5340 5660 6586 6792 7120 8490 8880 9879 10471 10680 11320 13172 13584 16465 16980 19758 20942 21360 22640 25187 26344 31413 32930 33960 39516 41884 49395 50374 52355 52688 62826 65860 67920 75561 79032 83768 98790 100748 104710 125652 125935 131720 151122 157065 158064 167536 197580 201496 209420 251304 251870 263440 302244 314130 377805 395160 402992 418840 502608 503740 604488 628260 755610 790320 837680 931919 1007480 1208976 1256520 1511220 1863838 2014960 2513040 2795757 3022440 3727676 4659595 5591514 6044880 7455352 9319190 11183028 13978785 14910704 18638380 22366056 27957570 37276760 44732112 55915140 74553520 111830280 223660560