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10223442140 = 2257949912967
BaseRepresentation
bin10011000010101110…
…10101100011011100
3222101111012200010012
421201113111203130
5131414200122030
64410243502352
7511226552522
oct114127254334
928344180105
1010223442140
11437695943a
121b939879b8
13c6c091862
146cdac8312
153ec7e8095
hex2615d58dc

10223442140 has 48 divisors (see below), whose sum is σ = 21786240000. Its totient is φ = 4029210432.

The previous prime is 10223442101. The next prime is 10223442197. The reversal of 10223442140 is 4124432201.

10223442140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 781937 + ... + 794903.

It is an arithmetic number, because the mean of its divisors is an integer number (453880000).

Almost surely, 210223442140 is an apocalyptic number.

10223442140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10223442140 is an abundant number, since it is smaller than the sum of its proper divisors (11562797860).

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

10223442140 is a wasteful number, since it uses less digits than its factorization.

10223442140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13554 (or 13552 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10223442140 its reverse (4124432201), we get a palindrome (14347874341).

The spelling of 10223442140 in words is "ten billion, two hundred twenty-three million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 79 158 316 395 499 790 998 1580 1996 2495 4990 9980 12967 25934 39421 51868 64835 78842 129670 157684 197105 259340 394210 788420 1024393 2048786 4097572 5121965 6470533 10243930 12941066 20487860 25882132 32352665 64705330 129410660 511172107 1022344214 2044688428 2555860535 5111721070 10223442140