Search a number
-
+
223221330144 = 2533258358021
BaseRepresentation
bin1100111111100100000…
…1110011000011100000
3210100011200022110222000
43033321001303003200
512124124130031034
6250314011444000
722061426666661
oct3177101630340
9710150273860
10223221330144
118673869223a
1237318456600
13180851c3307
14ab38145368
155c16e03599
hex33f90730e0

223221330144 has 48 divisors (see below), whose sum is σ = 651062215440. Its totient is φ = 74407109760.

The previous prime is 223221330097. The next prime is 223221330149. The reversal of 223221330144 is 441033122322.

223221330144 is a `hidden beast` number, since 2 + 2 + 322 + 1 + 330 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2232213301443 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223221330149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129178147 + ... + 129179874.

It is an arithmetic number, because the mean of its divisors is an integer number (13563796155).

Almost surely, 2223221330144 is an apocalyptic number.

223221330144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223221330144 is an abundant number, since it is smaller than the sum of its proper divisors (427840885296).

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

223221330144 is a wasteful number, since it uses less digits than its factorization.

223221330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258358040 (or 258358026 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 223221330144 its reverse (441033122322), we get a palindrome (664254452466).

The spelling of 223221330144 in words is "two hundred twenty-three billion, two hundred twenty-one million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 258358021 516716042 775074063 1033432084 1550148126 2066864168 2325222189 3100296252 4133728336 4650444378 6200592504 6975666567 8267456672 9300888756 12401185008 13951333134 18601777512 24802370016 27902666268 37203555024 55805332536 74407110048 111610665072 223221330144