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201330032232 = 2337324457001
BaseRepresentation
bin1011101110000000110…
…1000111111001101000
3201020200000222022201110
42323200031013321220
511244310442012412
6232253441150320
720355101016000
oct2734015077150
9636600868643
10201330032232
117842461109a
123302902b3a0
1315ca6a409b4
149a5c9bd000
1553850e7d3c
hex2ee0347e68

201330032232 has 64 divisors (see below), whose sum is σ = 586968048000. Its totient is φ = 57522864000.

The previous prime is 201330032219. The next prime is 201330032261. The reversal of 201330032232 is 232230033102.

201330032232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 201330032199 and 201330032208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12220269 + ... + 12236732.

It is an arithmetic number, because the mean of its divisors is an integer number (9171375750).

Almost surely, 2201330032232 is an apocalyptic number.

It is an amenable number.

201330032232 is an abundant number, since it is smaller than the sum of its proper divisors (385638015768).

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

201330032232 is a wasteful number, since it uses less digits than its factorization.

201330032232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24457031 (or 24457013 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 201330032232 its reverse (232230033102), we get a palindrome (433560065334).

The spelling of 201330032232 in words is "two hundred one billion, three hundred thirty million, thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232 24457001 48914002 73371003 97828004 146742006 171199007 195656008 293484012 342398014 513597021 586968024 684796028 1027194042 1198393049 1369592056 2054388084 2396786098 3595179147 4108776168 4793572196 7190358294 8388751343 9587144392 14380716588 16777502686 25166254029 28761433176 33555005372 50332508058 67110010744 100665016116 201330032232