Search a number
-
+
1222044340 = 225113291583
BaseRepresentation
bin100100011010110…
…1110101010110100
310011011111021200111
41020311232222310
510000320404330
6321132352404
742166130326
oct11065565264
93134437614
101222044340
115778a3000
122a1315704
1316624227a
14b842b616
157244232a
hex48d6eab4

1222044340 has 96 divisors (see below), whose sum is σ = 2921909760. Its totient is φ = 428785280.

The previous prime is 1222044331. The next prime is 1222044353. The reversal of 1222044340 is 434402221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 771189 + ... + 772771.

It is an arithmetic number, because the mean of its divisors is an integer number (30436560).

Almost surely, 21222044340 is an apocalyptic number.

1222044340 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 1222044340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460954880).

1222044340 is an abundant number, since it is smaller than the sum of its proper divisors (1699865420).

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

1222044340 is a wasteful number, since it uses less digits than its factorization.

1222044340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1222044340 is about 34957.7507857700. The cubic root of 1222044340 is about 1069.1262380880.

Adding to 1222044340 its reverse (434402221), we get a palindrome (1656446561).

The spelling of 1222044340 in words is "one billion, two hundred twenty-two million, forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 121 145 220 242 290 319 484 580 605 638 1210 1276 1331 1583 1595 2420 2662 3166 3190 3509 5324 6332 6380 6655 7018 7915 13310 14036 15830 17413 17545 26620 31660 34826 35090 38599 45907 69652 70180 77198 87065 91814 154396 174130 183628 191543 192995 229535 348260 383086 385990 459070 504977 766172 771980 918140 957715 1009954 1915430 2019908 2106973 2524885 3830860 4213946 5049770 5554747 8427892 10099540 10534865 11109494 21069730 22218988 27773735 42139460 55547470 61102217 111094940 122204434 244408868 305511085 611022170 1222044340