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4114223010 = 2335151100913
BaseRepresentation
bin1111010100111010…
…0000111110100010
3101121201122011222000
43311032200332202
531411220114020
61520130024430
7203645214162
oct36516407642
911551564860
104114223010
11182140a707
12969a18116
135074a4cb1
142b05a85a2
151912d9090
hexf53a0fa2

4114223010 has 64 divisors (see below), whose sum is σ = 11044028160. Its totient is φ = 1089849600.

The previous prime is 4114222993. The next prime is 4114223021. The reversal of 4114223010 is 103224114.

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

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 31 ways as a sum of consecutive naturals, for example, 9687 + ... + 91226.

It is an arithmetic number, because the mean of its divisors is an integer number (172562940).

Almost surely, 24114223010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114223010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5522014080).

4114223010 is an abundant number, since it is smaller than the sum of its proper divisors (6929805150).

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

4114223010 is a wasteful number, since it uses less digits than its factorization.

4114223010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101080 (or 101074 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4114223010 is about 64142.2092697157. The cubic root of 4114223010 is about 1602.3692776059.

Adding to 4114223010 its reverse (103224114), we get a palindrome (4217447124).

The spelling of 4114223010 in words is "four billion, one hundred fourteen million, two hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 151 270 302 453 755 906 1359 1510 2265 2718 4077 4530 6795 8154 13590 20385 40770 100913 201826 302739 504565 605478 908217 1009130 1513695 1816434 2724651 3027390 4541085 5449302 9082170 13623255 15237863 27246510 30475726 45713589 76189315 91427178 137140767 152378630 228567945 274281534 411422301 457135890 685703835 822844602 1371407670 2057111505 4114223010