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223363238688 = 253492832
BaseRepresentation
bin1101000000000101111…
…1001000101100100000
3210100112120100011220000
43100001133020230200
512124421442114223
6250340041220000
722065102126342
oct3200137105440
9710476304800
10223363238688
11868007a8227
1237357a91600
13180a871b275
14ab4cd25292
155c245d5543
hex34017c8b20

223363238688 has 90 divisors (see below), whose sum is σ = 656975852379. Its totient is φ = 74446392384.

The previous prime is 223363238687. The next prime is 223363238713. The reversal of 223363238688 is 886832363322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

223363238688 is a `hidden beast` number, since 2 + 233 + 6 + 323 + 8 + 6 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111681619344 + 111681619344 = 334188^2 + 334188^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334188.

It is a super-2 number, since 2×2233632386882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (223363238687) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 24056895 + ... + 24066177.

Almost surely, 2223363238688 is an apocalyptic number.

It is an amenable number.

223363238688 is an abundant number, since it is smaller than the sum of its proper divisors (433612613691).

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

223363238688 is an frugal number, since it uses more digits than its factorization.

223363238688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18588 (or 9288 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 223363238688 in words is "two hundred twenty-three billion, three hundred sixty-three million, two hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 9283 18566 27849 37132 55698 74264 83547 111396 148528 167094 222792 250641 297056 334188 445584 501282 668376 751923 891168 1002564 1336752 1503846 2005128 2673504 3007692 4010256 6015384 8020512 12030768 24061536 86174089 172348178 258522267 344696356 517044534 689392712 775566801 1034089068 1378785424 1551133602 2068178136 2326700403 2757570848 3102267204 4136356272 4653400806 6204534408 6980101209 8272712544 9306801612 12409068816 13960202418 18613603224 24818137632 27920404836 37227206448 55840809672 74454412896 111681619344 223363238688