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4125002200 = 2352119711931
BaseRepresentation
bin1111010111011110…
…1000100111011000
3101122110220211020021
43311313220213120
531422000032300
61521153040224
7204135640324
oct36567504730
911573824207
104125002200
111827502230
12971556074
135097aa407
142b1bb2984
15192217d1a
hexf5de89d8

4125002200 has 96 divisors (see below), whose sum is σ = 10478704320. Its totient is φ = 1497680000.

The previous prime is 4125002177. The next prime is 4125002209. The reversal of 4125002200 is 22005214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125002209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2135235 + ... + 2137165.

It is an arithmetic number, because the mean of its divisors is an integer number (109153170).

Almost surely, 24125002200 is an apocalyptic number.

4125002200 is a gapful number since it is divisible by the number (40) 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 4125002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239352160).

4125002200 is an abundant number, since it is smaller than the sum of its proper divisors (6353702120).

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

4125002200 is a wasteful number, since it uses less digits than its factorization.

4125002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 4125002200 is about 64226.1800203001. The cubic root of 4125002200 is about 1603.7674501120.

Adding to 4125002200 its reverse (22005214), we get a palindrome (4147007414).

The spelling of 4125002200 in words is "four billion, one hundred twenty-five million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 971 1100 1931 1942 2200 3862 3884 4855 7724 7768 9655 9710 10681 15448 19310 19420 21241 21362 24275 38620 38840 42482 42724 48275 48550 53405 77240 84964 85448 96550 97100 106205 106810 169928 193100 194200 212410 213620 267025 386200 424820 427240 531025 534050 849640 1062050 1068100 1875001 2124100 2136200 3750002 4248200 7500004 9375005 15000008 18750010 20625011 37500020 41250022 46875025 75000040 82500044 93750050 103125055 165000088 187500100 206250110 375000200 412500220 515625275 825000440 1031250550 2062501100 4125002200