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2234133540 = 22325176111969
BaseRepresentation
bin1000010100101010…
…0010110000100100
312202200220202001200
42011022202300210
514033414233130
61005405122500
7106235551602
oct20512426044
95680822050
102234133540
11a47123661
12524259430
13297b22c12
14172a04872
15d1210760
hex852a2c24

2234133540 has 144 divisors (see below), whose sum is σ = 7293751920. Its totient is φ = 551485440.

The previous prime is 2234133529. The next prime is 2234133569. The reversal of 2234133540 is 453314322.

It can be written as a sum of positive squares in 8 ways, for example, as 455993316 + 1778140224 = 21354^2 + 42168^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180676 + ... + 192644.

It is an arithmetic number, because the mean of its divisors is an integer number (50651055).

Almost surely, 22234133540 is an apocalyptic number.

2234133540 is a gapful number since it is divisible by the number (20) 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 2234133540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646875960).

2234133540 is an abundant number, since it is smaller than the sum of its proper divisors (5059618380).

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

2234133540 is a wasteful number, since it uses less digits than its factorization.

2234133540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12062 (or 12057 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2234133540 is about 47266.6218382486. The cubic root of 2234133540 is about 1307.2832885814.

Adding to 2234133540 its reverse (453314322), we get a palindrome (2687447862).

The spelling of 2234133540 in words is "two billion, two hundred thirty-four million, one hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 61 68 85 90 102 122 153 170 180 183 204 244 255 305 306 340 366 510 549 610 612 732 765 915 1020 1037 1098 1220 1530 1830 2074 2196 2745 3060 3111 3660 4148 5185 5490 6222 9333 10370 10980 11969 12444 15555 18666 20740 23938 31110 35907 37332 46665 47876 59845 62220 71814 93330 107721 119690 143628 179535 186660 203473 215442 239380 359070 406946 430884 538605 610419 718140 730109 813892 1017365 1077210 1220838 1460218 1831257 2034730 2154420 2190327 2441676 2920436 3052095 3650545 3662514 4069460 4380654 6104190 6570981 7301090 7325028 8761308 9156285 10951635 12208380 12411853 13141962 14602180 18312570 21903270 24823706 26283924 32854905 36625140 37235559 43806540 49647412 62059265 65709810 74471118 111706677 124118530 131419620 148942236 186177795 223413354 248237060 372355590 446826708 558533385 744711180 1117066770 2234133540