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4222114440 = 2335311134977
BaseRepresentation
bin1111101110101000…
…0101101010001000
3101220020122122011220
43323222011222020
532121330130230
61534542322040
7206425244355
oct37352055210
911806578156
104222114440
111877301085
12999b89320
1352394c68b
142c0a5162c
1519a9ebd10
hexfba85a88

4222114440 has 64 divisors (see below), whose sum is σ = 13074946560. Its totient is φ = 1089576960.

The previous prime is 4222114417. The next prime is 4222114459. The reversal of 4222114440 is 444112224.

4222114440 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4222114440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563769 + ... + 571208.

It is an arithmetic number, because the mean of its divisors is an integer number (204296040).

Almost surely, 24222114440 is an apocalyptic number.

4222114440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4222114440 is an abundant number, since it is smaller than the sum of its proper divisors (8852832120).

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

4222114440 is a wasteful number, since it uses less digits than its factorization.

4222114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135022 (or 1135018 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4222114440 is about 64977.7995933996. The cubic root of 4222114440 is about 1616.2554421299.

Adding to 4222114440 its reverse (444112224), we get a palindrome (4666226664).

The spelling of 4222114440 in words is "four billion, two hundred twenty-two million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 1134977 2269954 3404931 4539908 5674885 6809862 9079816 11349770 13619724 17024655 22699540 27239448 34049310 35184287 45399080 68098620 70368574 105552861 136197240 140737148 175921435 211105722 281474296 351842870 422211444 527764305 703685740 844422888 1055528610 1407371480 2111057220 4222114440