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223401233224 = 23135389455393
BaseRepresentation
bin1101000000001111000…
…0000100101101001000
3210100122012211111121001
43100003300010231020
512130011203430344
6250343515424344
722066043102521
oct3200360045510
9710565744531
10223401233224
1186820199074
12373687550b4
13180b3562040
14ab53db5848
155c27adced4
hex3403c04b48

223401233224 has 64 divisors (see below), whose sum is σ = 464775116400. Its totient is φ = 100025942016.

The previous prime is 223401233203. The next prime is 223401233227. The reversal of 223401233224 is 422332104322.

It can be written as a sum of positive squares in 8 ways, for example, as 62345096100 + 161056137124 = 249690^2 + 401318^2 .

It is a super-2 number, since 2×2234012332242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223401233192 and 223401233201.

It is not an unprimeable number, because it can be changed into a prime (223401233227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262872 + ... + 718264.

Almost surely, 2223401233224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223401233224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232387558200).

223401233224 is an abundant number, since it is smaller than the sum of its proper divisors (241373883176).

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

223401233224 is a wasteful number, since it uses less digits than its factorization.

223401233224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455554 (or 455550 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 223401233224 its reverse (422332104322), we get a palindrome (645733337546).

The spelling of 223401233224 in words is "two hundred twenty-three billion, four hundred one million, two hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 53 89 104 106 178 212 356 424 689 712 1157 1378 2314 2756 4628 4717 5512 9256 9434 18868 37736 61321 122642 245284 455393 490568 910786 1821572 3643144 5920109 11840218 23680436 24135829 40529977 47360872 48271658 81059954 96543316 162119908 193086632 313765777 324239816 526889701 627531554 1053779402 1255063108 2107558804 2148088781 2510126216 4215117608 4296177562 8592355124 17184710248 27925154153 55850308306 111700616612 223401233224