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4221013200 = 243529736263
BaseRepresentation
bin1111101110010111…
…1000110011010000
3101220011120200120020
43323211320303100
532121034410300
61534502543440
7206413006635
oct37345706320
911804520506
104221013200
111876719768
12999737b80
13523655361
142c084618c
1519a8808a0
hexfb978cd0

4221013200 has 120 divisors (see below), whose sum is σ = 13661083968. Its totient is φ = 1113968640.

The previous prime is 4221013193. The next prime is 4221013207. The reversal of 4221013200 is 23101224.

It is an interprime number because it is at equal distance from previous prime (4221013193) and next prime (4221013207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4221013200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221013207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98269 + ... + 134531.

Almost surely, 24221013200 is an apocalyptic number.

4221013200 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 4221013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6830541984).

4221013200 is an abundant number, since it is smaller than the sum of its proper divisors (9440070768).

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

4221013200 is a wasteful number, since it uses less digits than its factorization.

4221013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36381 (or 36370 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4221013200 is about 64969.3250696050. The cubic root of 4221013200 is about 1616.1149090756.

Adding to 4221013200 its reverse (23101224), we get a palindrome (4244114424).

The spelling of 4221013200 in words is "four billion, two hundred twenty-one million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 97 100 120 150 194 200 240 291 300 388 400 485 582 600 776 970 1164 1200 1455 1552 1940 2328 2425 2910 3880 4656 4850 5820 7275 7760 9700 11640 14550 19400 23280 29100 36263 38800 58200 72526 108789 116400 145052 181315 217578 290104 362630 435156 543945 580208 725260 870312 906575 1087890 1450520 1740624 1813150 2175780 2719725 2901040 3517511 3626300 4351560 5439450 7035022 7252600 8703120 10552533 10878900 14070044 14505200 17587555 21105066 21757800 28140088 35175110 42210132 43515600 52762665 56280176 70350220 84420264 87937775 105525330 140700440 168840528 175875550 211050660 263813325 281400880 351751100 422101320 527626650 703502200 844202640 1055253300 1407004400 2110506600 4221013200