Search a number
-
+
210022033331232 = 2532729243171289
BaseRepresentation
bin101111110000001110010000…
…101100010001010000100000
31000112121220120121110111201200
4233300032100230101100200
5210012000111013044412
62022402442401201200
762144406526132323
oct5760162054212040
91015556517414650
10210022033331232
1160a12931609221
121b67b816030200
139025cba1396b5
1439c11990cc7ba
15194324d4e69dc
hexbf0390b11420

210022033331232 has 36 divisors (see below), whose sum is σ = 597250157286510. Its totient is φ = 70007344443648.

The previous prime is 210022033331203. The next prime is 210022033331263. The reversal of 210022033331232 is 232133330220012.

210022033331232 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 2 + 203 + 333 + 123 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203114829370896 + 6907203960336 = 14251836^2 + 2628156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 210022033331196 and 210022033331205.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 364621585357 + ... + 364621585932.

Almost surely, 2210022033331232 is an apocalyptic number.

It is an amenable number.

210022033331232 is an abundant number, since it is smaller than the sum of its proper divisors (387228123955278).

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

210022033331232 is a wasteful number, since it uses less digits than its factorization.

210022033331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729243171305 (or 729243171294 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 210022033331232 its reverse (232133330220012), we get a palindrome (442155363551244).

The spelling of 210022033331232 in words is "two hundred ten trillion, twenty-two billion, thirty-three million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 729243171289 1458486342578 2187729513867 2916972685156 4375459027734 5833945370312 6563188541601 8750918055468 11667890740624 13126377083202 17501836110936 23335781481248 26252754166404 35003672221872 52505508332808 70007344443744 105011016665616 210022033331232