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223120230030 = 232541113535099
BaseRepresentation
bin1100111111001100000…
…0001000011010001110
3210022220122002001200100
43033303000020122032
512123422234330110
6250300000511530
722056061443315
oct3176300103216
9708818061610
10223120230030
118669660a225
12372aa61b5a6
131806a285b69
14ab2894927c
155c0d0d2bc0
hex33f300868e

223120230030 has 96 divisors (see below), whose sum is σ = 599521759200. Its totient is φ = 57533736960.

The previous prime is 223120230017. The next prime is 223120230031. The reversal of 223120230030 is 30032021322.

It is a happy number.

223120230030 is a `hidden beast` number, since 22 + 312 + 0 + 2 + 300 + 30 = 666.

223120230030 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231202300303 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223120229985 and 223120230012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223120230031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149421 + ... + 684519.

It is an arithmetic number, because the mean of its divisors is an integer number (6245018325).

Almost surely, 2223120230030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223120230030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299760879600).

223120230030 is an abundant number, since it is smaller than the sum of its proper divisors (376401529170).

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

223120230030 is a wasteful number, since it uses less digits than its factorization.

223120230030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535266 (or 535263 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 223120230030 its reverse (30032021322), we get a palindrome (253152251352).

The spelling of 223120230030 in words is "two hundred twenty-three billion, one hundred twenty million, two hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 113 123 205 226 246 339 369 410 565 615 678 738 1017 1130 1230 1695 1845 2034 3390 3690 4633 5085 9266 10170 13899 23165 27798 41697 46330 69495 83394 138990 208485 416970 535099 1070198 1605297 2675495 3210594 4815891 5350990 8026485 9631782 16052970 21939059 24079455 43878118 48158910 60466187 65817177 109695295 120932374 131634354 181398561 197451531 219390590 302330935 329085885 362797122 394903062 544195683 604661870 658171770 906992805 987257655 1088391366 1813985610 1974515310 2479113667 2720978415 4958227334 5441956830 7437341001 12395568335 14874682002 22312023003 24791136670 37186705005 44624046006 74373410010 111560115015 223120230030