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221424530256 = 24341710050133
BaseRepresentation
bin1100111000110111101…
…1100011001101010000
3210011112110022120220000
43032031323203031100
512111434134432011
6245415424050000
721666051311226
oct3161573431520
9704473276800
10221424530256
11859a6413956
1236ab6763900
1317b59b83a07
14aa07662b16
155b5e2cd356
hex338dee3350

221424530256 has 100 divisors (see below), whose sum is σ = 678564947412. Its totient is φ = 69466512384.

The previous prime is 221424530237. The next prime is 221424530267. The reversal of 221424530256 is 652035424122.

221424530256 is a `hidden beast` number, since 221 + 42 + 45 + 302 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93503854656 + 127920675600 = 305784^2 + 357660^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 221424530256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5003035 + ... + 5047098.

Almost surely, 2221424530256 is an apocalyptic number.

It is an amenable number.

221424530256 is an abundant number, since it is smaller than the sum of its proper divisors (457140417156).

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

221424530256 is a wasteful number, since it uses less digits than its factorization.

221424530256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10050170 (or 10050155 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 221424530256 its reverse (652035424122), we get a palindrome (873459954378).

The spelling of 221424530256 in words is "two hundred twenty-one billion, four hundred twenty-four million, five hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 5508 7344 11016 22032 10050133 20100266 30150399 40200532 60300798 80401064 90451197 120601596 160802128 170852261 180902394 241203192 271353591 341704522 361804788 482406384 512556783 542707182 683409044 723609576 814060773 1025113566 1085414364 1366818088 1447219152 1537670349 1628121546 2050227132 2170828728 2733636176 3075340698 3256243092 4100454264 4341657456 4613011047 6150681396 6512486184 8200908528 9226022094 12301362792 13024972368 13839033141 18452044188 24602725584 27678066282 36904088376 55356132564 73808176752 110712265128 221424530256