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228686716944 = 24327256932
BaseRepresentation
bin1101010011111011001…
…0100110000000010000
3210212021120101220012100
43110332302212000100
512221322244420234
6253020210000400
722344033010200
oct3247662460020
9725246356170
10228686716944
1188a92765234
12383a2876100
13187465a82ba
14b0d5d4c400
155e36b37399
hex353eca6010

228686716944 has 135 divisors (see below), whose sum is σ = 744626626653. Its totient is φ = 65327584896.

The previous prime is 228686716883. The next prime is 228686716967. The reversal of 228686716944 is 449617686822.

The square root of 228686716944 is 478212.

It is a perfect power (a square), and thus also a powerful number.

228686716944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 28083056400 + 200603660544 = 167580^2 + 447888^2 .

It is a super-2 number, since 2×2286867169442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40166962 + ... + 40172654.

Almost surely, 2228686716944 is an apocalyptic number.

228686716944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

228686716944 is the 478212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228686716944

228686716944 is an abundant number, since it is smaller than the sum of its proper divisors (515939909709).

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

228686716944 is an frugal number, since it uses more digits than its factorization.

228686716944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11414 (or 5705 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 228686716944 in words is "two hundred twenty-eight billion, six hundred eighty-six million, seven hundred sixteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 5693 7056 11386 17079 22772 34158 39851 45544 51237 68316 79702 91088 102474 119553 136632 159404 204948 239106 273264 278957 318808 358659 409896 478212 557914 637616 717318 819792 836871 956424 1115828 1434636 1673742 1912848 2231656 2510613 2869272 3347484 4463312 5021226 5738544 6694968 10042452 13389936 20084904 32410249 40169808 64820498 97230747 129640996 194461494 226871743 259281992 291692241 388922988 453743486 518563984 583384482 680615229 777845976 907486972 1166768964 1361230458 1555691952 1588102201 1814973944 2041845687 2333537928 2722460916 3176204402 3629947888 4083691374 4667075856 4764306603 5444921832 6352408804 8167382748 9528613206 10889843664 12704817608 14292919809 16334765496 19057226412 25409635216 28585839618 32669530992 38114452824 57171679236 76228905648 114343358472 228686716944