Search a number
-
+
2228929545332 = 2272416119492333
BaseRepresentation
bin100000011011110110100…
…011011100010001110100
321220002020221011201002102
4200123312203130101310
5243004321430422312
64423542303401232
7320014644350600
oct40336643342164
97802227151072
102228929545332
1178a313690636
122bbb93bb3218
131322582409b9
1479c48b6c500
153cea60cdec2
hex206f68dc474

2228929545332 has 144 divisors (see below), whose sum is σ = 4728782494800. Its totient is φ = 915815577600.

The previous prime is 2228929545281. The next prime is 2228929545361. The reversal of 2228929545332 is 2335459298222.

It can be written as a sum of positive squares in 8 ways, for example, as 512478447376 + 1716451097956 = 715876^2 + 1310134^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 955390838 + ... + 955393170.

It is an arithmetic number, because the mean of its divisors is an integer number (32838767325).

Almost surely, 22228929545332 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 2228929545332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364391247400).

2228929545332 is an abundant number, since it is smaller than the sum of its proper divisors (2499852949468).

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

2228929545332 is a wasteful number, since it uses less digits than its factorization.

2228929545332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4393 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 56.

The spelling of 2228929545332 in words is "two trillion, two hundred twenty-eight billion, nine hundred twenty-nine million, five hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 49 61 82 98 122 164 196 244 287 427 574 854 1148 1708 1949 2009 2333 2501 2989 3898 4018 4666 5002 5978 7796 8036 9332 10004 11956 13643 16331 17507 27286 32662 35014 54572 65324 70028 79909 95501 95653 114317 118889 122549 142313 159818 191002 191306 228634 237778 245098 284626 319636 382004 382612 457268 475556 490196 559363 569252 669571 832223 996191 1118726 1339142 1664446 1992382 2237452 2678284 3328892 3915541 3984764 4547017 4686997 4874449 5825561 5834833 6973337 7831082 9094034 9373994 9748898 11651122 11669666 13946674 15662164 18188068 18747988 19497796 23302244 23339332 27893348 31829119 34121143 40843831 63658238 68242286 81687662 127316476 136484572 163375324 186427697 222803833 238848001 277368037 285906817 372855394 445607666 477696002 554736074 571813634 745710788 891215332 955392004 1109472148 1143627268 1304993879 1941576259 2609987758 3883152518 5219975516 7766305036 9134957153 11372089517 13591033813 18269914306 22744179034 27182067626 36539828612 45488358068 54364135252 79604626619 159209253238 318418506476 557232386333 1114464772666 2228929545332