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4222203104 = 257192343133
BaseRepresentation
bin1111101110101001…
…1011010011100000
3101220020211010210202
43323222123103200
532121340444404
61534544244332
7206426064020
oct37352332340
911806733722
104222203104
111877361759
1299a0106a8
13523980b42
142c0a75a80
1519aa1821e
hexfba9b4e0

4222203104 has 96 divisors (see below), whose sum is σ = 10434977280. Its totient is φ = 1639706112.

The previous prime is 4222203103. The next prime is 4222203121. The reversal of 4222203104 is 4013022224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222203101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76322 + ... + 119454.

It is an arithmetic number, because the mean of its divisors is an integer number (108697680).

Almost surely, 24222203104 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 4222203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217488640).

4222203104 is an abundant number, since it is smaller than the sum of its proper divisors (6212774176).

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

4222203104 is a wasteful number, since it uses less digits than its factorization.

4222203104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43192 (or 43184 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4222203104 is about 64978.4818536106. The cubic root of 4222203104 is about 1616.2667557873.

Adding to 4222203104 its reverse (4013022224), we get a palindrome (8235225328).

The spelling of 4222203104 in words is "four billion, two hundred twenty-two million, two hundred three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 19 23 28 32 38 46 56 76 92 112 133 152 161 184 224 266 304 322 368 437 532 608 644 736 874 1064 1288 1748 2128 2576 3059 3496 4256 5152 6118 6992 12236 13984 24472 43133 48944 86266 97888 172532 301931 345064 603862 690128 819527 992059 1207724 1380256 1639054 1984118 2415448 3278108 3968236 4830896 5736689 6556216 6944413 7936472 9661792 11473378 13112432 13888826 15872944 18849121 22946756 26224864 27777652 31745888 37698242 45893512 55555304 75396484 91787024 111110608 131943847 150792968 183574048 222221216 263887694 301585936 527775388 603171872 1055550776 2111101552 4222203104