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223994880 = 2103254861
BaseRepresentation
bin11010101100111…
…10010000000000
3120121111010012200
431112132100000
5424320314010
634120553200
75356632204
oct1526362000
9517433180
10223994880
1110549173a
1263022800
1337538b65
1421a6ab04
15149e8cc0
hexd59e400

223994880 has 132 divisors (see below), whose sum is σ = 776296092. Its totient is φ = 59719680.

The previous prime is 223994843. The next prime is 223994899. The reversal of 223994880 is 88499322.

It can be written as a sum of positive squares in 2 ways, for example, as 150994944 + 72999936 = 12288^2 + 8544^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 43650 + ... + 48510.

It is an arithmetic number, because the mean of its divisors is an integer number (5881031).

Almost surely, 2223994880 is an apocalyptic number.

223994880 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 223994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388148046).

223994880 is an abundant number, since it is smaller than the sum of its proper divisors (552301212).

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

223994880 is a wasteful number, since it uses less digits than its factorization.

223994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 223994880 is about 14966.4584989235. The cubic root of 223994880 is about 607.3131671567.

The spelling of 223994880 in words is "two hundred twenty-three million, nine hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 4861 5120 5760 7680 9216 9722 11520 14583 15360 19444 23040 24305 29166 38888 43749 46080 48610 58332 72915 77776 87498 97220 116664 145830 155552 174996 194440 218745 233328 291660 311104 349992 388880 437490 466656 583320 622208 699984 777760 874980 933312 1166640 1244416 1399968 1555520 1749960 1866624 2333280 2488832 2799936 3111040 3499920 3733248 4666560 4977664 5599872 6222080 6999840 7466496 9333120 11199744 12444160 13999680 14932992 18666240 22399488 24888320 27999360 37332480 44798976 55998720 74664960 111997440 223994880