Search a number
-
+
2221411160 = 235411379887
BaseRepresentation
bin1000010001101000…
…0000101101011000
312201210222101020102
42010122000231120
514022140124120
61004232314532
7106022453243
oct20432005530
95653871212
102221411160
11a3aa240a1
1251bb42a48
132952ba197
1417105225a
15d004ad75
hex84680b58

2221411160 has 64 divisors (see below), whose sum is σ = 5157976320. Its totient is φ = 860477440.

The previous prime is 2221411133. The next prime is 2221411177. The reversal of 2221411160 is 611141222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219737 + ... + 229623.

It is an arithmetic number, because the mean of its divisors is an integer number (80593380).

Almost surely, 22221411160 is an apocalyptic number.

2221411160 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 2221411160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578988160).

2221411160 is an abundant number, since it is smaller than the sum of its proper divisors (2936565160).

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

2221411160 is a wasteful number, since it uses less digits than its factorization.

2221411160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10076 (or 10072 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2221411160 is about 47131.8486800592. The cubic root of 2221411160 is about 1304.7971010086.

Adding to 2221411160 its reverse (611141222), we get a palindrome (2832552382).

The spelling of 2221411160 in words is "two billion, two hundred twenty-one million, four hundred eleven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 137 164 205 274 328 410 548 685 820 1096 1370 1640 2740 5480 5617 9887 11234 19774 22468 28085 39548 44936 49435 56170 79096 98870 112340 197740 224680 395480 405367 810734 1354519 1621468 2026835 2709038 3242936 4053670 5418076 6772595 8107340 10836152 13545190 16214680 27090380 54180760 55535279 111070558 222141116 277676395 444282232 555352790 1110705580 2221411160