Search a number
-
+
1222313532 = 22311171274289
BaseRepresentation
bin100100011011011…
…0000011000111100
310011011222221221120
41020312300120330
510000403013112
6321142230540
742201331206
oct11066603074
93134887846
101222313532
11577a67280
122a1425450
1316630795b
14b849b776
1572496e8c
hex48db063c

1222313532 has 96 divisors (see below), whose sum is σ = 3321077760. Its totient is φ = 345784320.

The previous prime is 1222313531. The next prime is 1222313551. The reversal of 1222313532 is 2353132221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222313531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282844 + ... + 287132.

It is an arithmetic number, because the mean of its divisors is an integer number (34594560).

Almost surely, 21222313532 is an apocalyptic number.

1222313532 is a gapful number since it is divisible by the number (12) 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 1222313532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660538880).

1222313532 is an abundant number, since it is smaller than the sum of its proper divisors (2098764228).

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

1222313532 is a wasteful number, since it uses less digits than its factorization.

1222313532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451 (or 4449 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 1222313532 is about 34961.6008214727. The cubic root of 1222313532 is about 1069.2047347217.

Adding to 1222313532 its reverse (2353132221), we get a palindrome (3575445753).

The spelling of 1222313532 in words is "one billion, two hundred twenty-two million, three hundred thirteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 127 132 187 204 254 374 381 508 561 748 762 1122 1397 1524 2159 2244 2794 4191 4289 4318 5588 6477 8382 8578 8636 12867 12954 16764 17156 23749 25734 25908 47179 47498 51468 71247 72913 94358 94996 141537 142494 145826 188716 218739 283074 284988 291652 437478 544703 566148 802043 874956 1089406 1604086 1634109 2178812 2406129 3208172 3268218 4812258 5991733 6536436 9259951 9624516 11983466 17975199 18519902 23966932 27779853 35950398 37039804 55559706 71900796 101859461 111119412 203718922 305578383 407437844 611156766 1222313532