Search a number
-
+
3232022112 = 2532116715227
BaseRepresentation
bin1100000010100100…
…1011111001100000
322100020121201211200
43000221023321200
523104344201422
61252413241200
7143043506664
oct30051137140
98306551750
103232022112
111409435060
12762493200
133c67a1027
142293628a4
1513db262ac
hexc0a4be60

3232022112 has 144 divisors (see below), whose sum is σ = 10176933312. Its totient is φ = 964719360.

The previous prime is 3232022107. The next prime is 3232022137. The reversal of 3232022112 is 2112202323.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204643 + ... + 219869.

It is an arithmetic number, because the mean of its divisors is an integer number (70673148).

Almost surely, 23232022112 is an apocalyptic number.

3232022112 is a gapful number since it is divisible by the number (32) 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 3232022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088466656).

3232022112 is an abundant number, since it is smaller than the sum of its proper divisors (6944911200).

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

3232022112 is a wasteful number, since it uses less digits than its factorization.

3232022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15321 (or 15310 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3232022112 is about 56850.8760882363. The cubic root of 3232022112 is about 1478.5117301148.

Adding to 3232022112 its reverse (2112202323), we get a palindrome (5344224435).

The spelling of 3232022112 in words is "three billion, two hundred thirty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 67 72 88 96 99 132 134 144 176 198 201 264 268 288 352 396 402 528 536 603 737 792 804 1056 1072 1206 1474 1584 1608 2144 2211 2412 2948 3168 3216 4422 4824 5896 6432 6633 8844 9648 11792 13266 15227 17688 19296 23584 26532 30454 35376 45681 53064 60908 70752 91362 106128 121816 137043 167497 182724 212256 243632 274086 334994 365448 487264 502491 548172 669988 730896 1004982 1020209 1096344 1339976 1461792 1507473 2009964 2040418 2192688 2679952 3014946 3060627 4019928 4080836 4385376 5359904 6029892 6121254 8039856 8161672 9181881 11222299 12059784 12242508 16079712 16323344 18363762 22444598 24119568 24485016 32646688 33666897 36727524 44889196 48239136 48970032 67333794 73455048 89778392 97940064 101000691 134667588 146910096 179556784 202001382 269335176 293820192 359113568 404002764 538670352 808005528 1077340704 1616011056 3232022112