Search a number
-
+
11224312220 = 22511175950867
BaseRepresentation
bin10100111010000010…
…10110100110011100
31001222020112010202102
422131001112212130
5140441410442340
65053435544232
7545102036222
oct123501264634
931866463672
1011224312220
11483a9169a0
122212bbb078
13109b544a84
147869c0b12
1545a5ec215
hex29d05699c

11224312220 has 96 divisors (see below), whose sum is σ = 27688469760. Its totient is φ = 3776291840.

The previous prime is 11224312207. The next prime is 11224312249. The reversal of 11224312220 is 2221342211.

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

It is a junction number, because it is equal to n+sod(n) for n = 11224312192 and 11224312201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195227 + ... + 246093.

It is an arithmetic number, because the mean of its divisors is an integer number (288421560).

Almost surely, 211224312220 is an apocalyptic number.

11224312220 is a gapful number since it is divisible by the number (10) 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 11224312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13844234880).

11224312220 is an abundant number, since it is smaller than the sum of its proper divisors (16464157540).

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

11224312220 is a wasteful number, since it uses less digits than its factorization.

11224312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50963 (or 50961 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11224312220 its reverse (2221342211), we get a palindrome (13445654431).

The spelling of 11224312220 in words is "eleven billion, two hundred twenty-four million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 59 68 85 110 118 170 187 220 236 295 340 374 590 649 748 935 1003 1180 1298 1870 2006 2596 3245 3740 4012 5015 6490 10030 11033 12980 20060 22066 44132 50867 55165 101734 110330 203468 220660 254335 508670 559537 864739 1017340 1119074 1729478 2238148 2797685 3001153 3458956 4323695 5595370 6002306 8647390 9512129 11190740 12004612 15005765 17294780 19024258 30011530 33012683 38048516 47560645 51019601 60023060 66025366 95121290 102039202 132050732 165063415 190242580 204078404 255098005 330126830 510196010 561215611 660253660 1020392020 1122431222 2244862444 2806078055 5612156110 11224312220