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10233422444 = 2272292337727
BaseRepresentation
bin10011000011111010…
…11010001001101100
3222102011222201112002
421201331122021230
5131424224004234
64411241431432
7511410440600
oct114175321154
928364881462
1010233422444
114381555823
121b9719b578
13c7117746b
146d1165500
153ed61a27e
hex261f5a26c

10233422444 has 72 divisors (see below), whose sum is σ = 21645973440. Its totient is φ = 4215800064.

The previous prime is 10233422443. The next prime is 10233422449. The reversal of 10233422444 is 44422433201.

10233422444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (10233422443) 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, 1320509 + ... + 1328235.

It is an arithmetic number, because the mean of its divisors is an integer number (300638520).

Almost surely, 210233422444 is an apocalyptic number.

10233422444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10233422444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10822986720).

10233422444 is an abundant number, since it is smaller than the sum of its proper divisors (11412550996).

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

10233422444 is a wasteful number, since it uses less digits than its factorization.

10233422444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007 (or 7998 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 10233422444 its reverse (44422433201), we get a palindrome (54655855645).

The spelling of 10233422444 in words is "ten billion, two hundred thirty-three million, four hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 233 406 466 812 932 1421 1631 2842 3262 5684 6524 6757 7727 11417 13514 15454 22834 27028 30908 45668 47299 54089 94598 108178 189196 216356 224083 331093 378623 448166 662186 757246 896332 1324372 1514492 1568581 1800391 3137162 3600782 6274324 7201564 10980067 12602737 21960134 25205474 43920268 50410948 52211339 88219159 104422678 176438318 208845356 352876636 365479373 730958746 1461917492 2558355611 5116711222 10233422444