Search a number
-
+
332023022112 = 25329499923857
BaseRepresentation
bin1001101010011100001…
…11010100001000100000
31011202000020220002202010
410311032013110020200
520414440343201422
6412310153352520
732662561060005
oct4651607241040
91152006802663
10332023022112
111188a0381831
1254421a08740
132540436bbc2
14120da1198ac
158983be6b0c
hex4d4e1d4220

332023022112 has 96 divisors (see below), whose sum is σ = 901832400000. Its totient is φ = 106832130048.

The previous prime is 332023022101. The next prime is 332023022147. The reversal of 332023022112 is 211220320233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3320230221122 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13905288 + ... + 13929144.

It is an arithmetic number, because the mean of its divisors is an integer number (9394087500).

Almost surely, 2332023022112 is an apocalyptic number.

332023022112 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 332023022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450916200000).

332023022112 is an abundant number, since it is smaller than the sum of its proper divisors (569809377888).

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

332023022112 is a wasteful number, since it uses less digits than its factorization.

332023022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28898 (or 28890 counting only the distinct ones).

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

Adding to 332023022112 its reverse (211220320233), we get a palindrome (543243342345).

The spelling of 332023022112 in words is "three hundred thirty-two billion, twenty-three million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 4999 9998 14997 19996 23857 29994 39992 47714 59988 71571 79984 95428 119976 143142 144971 159968 190856 239952 286284 289942 381712 434913 479904 572568 579884 691853 763424 869826 1145136 1159768 1383706 1739652 2075559 2290272 2319536 2767412 3479304 4151118 4639072 5534824 6958608 8302236 11069648 13917216 16604472 22139296 33208944 66417888 119261143 238522286 357783429 477044572 715566858 954089144 1431133716 1908178288 2862267432 3458573147 3816356576 5724534864 6917146294 10375719441 11449069728 13834292588 20751438882 27668585176 41502877764 55337170352 83005755528 110674340704 166011511056 332023022112