Search a number
-
+
1222641024 = 27311377823
BaseRepresentation
bin100100011100000…
…0000010110000000
310011012121121011220
41020320000112000
510000444003044
6321153235040
742204164043
oct11070002600
93135547156
101222641024
11578170330
122a1562a80
131663c0a37
14b8544c5a
157250e019
hex48e00580

1222641024 has 128 divisors (see below), whose sum is σ = 3639098880. Its totient is φ = 360437760.

The previous prime is 1222641001. The next prime is 1222641029. The reversal of 1222641024 is 4201462221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1222640985 and 1222641003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222641029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152377 + ... + 160199.

It is an arithmetic number, because the mean of its divisors is an integer number (28430460).

Almost surely, 21222641024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819549440).

1222641024 is an abundant number, since it is smaller than the sum of its proper divisors (2416457856).

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

1222641024 is a wasteful number, since it uses less digits than its factorization.

1222641024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7888 (or 7876 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1222641024 is about 34966.2841034045. The cubic root of 1222641024 is about 1069.3002161510.

It can be divided in two parts, 1222 and 641024, that added together give a palindrome (642246).

The spelling of 1222641024 in words is "one billion, two hundred twenty-two million, six hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 264 296 352 384 407 444 528 592 704 814 888 1056 1184 1221 1408 1628 1776 2112 2368 2442 3256 3552 4224 4736 4884 6512 7104 7823 9768 13024 14208 15646 19536 23469 26048 31292 39072 46938 52096 62584 78144 86053 93876 125168 156288 172106 187752 250336 258159 289451 344212 375504 500672 516318 578902 688424 751008 868353 1001344 1032636 1157804 1376848 1502016 1736706 2065272 2315608 2753696 3004032 3183961 3473412 4130544 4631216 5507392 6367922 6946824 8261088 9262432 9551883 11014784 12735844 13893648 16522176 18524864 19103766 25471688 27787296 33044352 37049728 38207532 50943376 55574592 76415064 101886752 111149184 152830128 203773504 305660256 407547008 611320512 1222641024