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2234131032 = 23371492599
BaseRepresentation
bin1000010100101010…
…0010001001011000
312202200220121121210
42011022202021120
514033414143112
61005405103120
7106235541360
oct20512421130
95680817553
102234131032
11a47121791
12524257aa0
13297b21a33
14172a039a0
15d120eb3c
hex852a2258

2234131032 has 96 divisors (see below), whose sum is σ = 6437088000. Its totient is φ = 632980608.

The previous prime is 2234131021. The next prime is 2234131037. The reversal of 2234131032 is 2301314322.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234131037) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3729469 + ... + 3730067.

It is an arithmetic number, because the mean of its divisors is an integer number (67053000).

Almost surely, 22234131032 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 2234131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218544000).

2234131032 is an abundant number, since it is smaller than the sum of its proper divisors (4202956968).

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

2234131032 is a wasteful number, since it uses less digits than its factorization.

2234131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2234131032 is about 47266.5953078916. The cubic root of 2234131032 is about 1307.2827994033.

Adding to 2234131032 its reverse (2301314322), we get a palindrome (4535445354).

The spelling of 2234131032 in words is "two billion, two hundred thirty-four million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 149 168 298 447 596 599 894 1043 1192 1198 1788 1797 2086 2396 3129 3576 3594 4172 4193 4792 6258 7188 8344 8386 12516 12579 14376 16772 22201 25032 25158 33544 44402 50316 66603 88804 89251 100632 133206 155407 177608 178502 266412 267753 310814 357004 466221 532824 535506 621628 624757 714008 932442 1071012 1243256 1249514 1864884 1874271 2142024 2499028 3729768 3748542 4998056 7497084 13298399 14994168 26596798 39895197 53193596 79790394 93088793 106387192 159580788 186177586 279266379 319161576 372355172 558532758 744710344 1117065516 2234131032