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23112224244 = 22324715838629
BaseRepresentation
bin10101100001100110…
…001000110111110100
32012122201201122022100
4111201212020313310
5334313212133434
614341223102100
71445512443654
oct254146106764
965581648270
1023112224244
11989028017a
1245902a1930
1322443c2a45
141193782364
159040cb699
hex561988df4

23112224244 has 72 divisors (see below), whose sum is σ = 59710210560. Its totient is φ = 7534521792.

The previous prime is 23112224243. The next prime is 23112224249. The reversal of 23112224244 is 44242221132.

It is a happy number.

23112224244 is a `hidden beast` number, since 2 + 3 + 11 + 222 + 424 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23112224243) 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 23 ways as a sum of consecutive naturals, for example, 2674122 + ... + 2682750.

It is an arithmetic number, because the mean of its divisors is an integer number (829308480).

Almost surely, 223112224244 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 23112224244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29855105280).

23112224244 is an abundant number, since it is smaller than the sum of its proper divisors (36597986316).

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

23112224244 is a wasteful number, since it uses less digits than its factorization.

23112224244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10269 (or 10264 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 23112224244 its reverse (44242221132), we get a palindrome (67354445376).

The spelling of 23112224244 in words is "twenty-three billion, one hundred twelve million, two hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1583 1692 3166 4749 6332 8629 9498 14247 17258 18996 25887 28494 34516 51774 56988 74401 77661 103548 148802 155322 223203 297604 310644 405563 446406 669609 811126 892812 1216689 1339218 1622252 2433378 2678436 3650067 4866756 7300134 13659707 14600268 27319414 40979121 54638828 81958242 122937363 163916484 245874726 491749452 642006229 1284012458 1926018687 2568024916 3852037374 5778056061 7704074748 11556112122 23112224244