Search a number
-
+
221900000 = 25557317
BaseRepresentation
bin11010011100111…
…10110011100000
3120110112200120112
431032132303200
5423301300000
634004030452
75333055530
oct1516366340
9513480515
10221900000
11104290833
1262392428
1336c8449a
14216834c0
1514733235
hexd39ece0

221900000 has 144 divisors (see below), whose sum is σ = 626022432. Its totient is φ = 75840000.

The previous prime is 221899987. The next prime is 221900039. The reversal of 221900000 is 9122.

It is a super-2 number, since 2×2219000002 = 98479220000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699842 + ... + 700158.

It is an arithmetic number, because the mean of its divisors is an integer number (4347378).

Almost surely, 2221900000 is an apocalyptic number.

221900000 is a gapful number since it is divisible by the number (20) 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 221900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313011216).

221900000 is an abundant number, since it is smaller than the sum of its proper divisors (404122432).

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

221900000 is an frugal number, since it uses more digits than its factorization.

221900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 221900000 is about 14896.3082674869. The cubic root of 221900000 is about 605.4139643457.

Adding to 221900000 its reverse (9122), we get a palindrome (221909122).

The spelling of 221900000 in words is "two hundred twenty-one million, nine hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 317 350 400 500 560 625 634 700 800 875 1000 1120 1250 1268 1400 1585 1750 2000 2219 2500 2536 2800 3125 3170 3500 4000 4375 4438 5000 5072 5600 6250 6340 7000 7925 8750 8876 10000 10144 11095 12500 12680 14000 15850 17500 17752 20000 21875 22190 25000 25360 28000 31700 35000 35504 39625 43750 44380 50000 50720 55475 63400 70000 71008 79250 87500 88760 100000 110950 126800 140000 158500 175000 177520 198125 221900 253600 277375 317000 350000 355040 396250 443800 554750 634000 700000 792500 887600 990625 1109500 1268000 1386875 1585000 1775200 1981250 2219000 2773750 3170000 3962500 4438000 5547500 6340000 6934375 7925000 8876000 11095000 13868750 15850000 22190000 27737500 31700000 44380000 55475000 110950000 221900000