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221432113233 = 3437313236053
BaseRepresentation
bin1100111000111001100…
…0011110100001010001
3210011112222120211210000
43032032120132201101
512111443110110413
6245420254400213
721666202623102
oct3161630364121
9704488524700
10221432113233
11859aa723081
1236ab9200069
1317b5b60a396
14aa086783a9
155b5ecca073
hex338e61e851

221432113233 has 40 divisors (see below), whose sum is σ = 340808155688. Its totient is φ = 143172147456.

The previous prime is 221432113211. The next prime is 221432113249. The reversal of 221432113233 is 332311234122.

221432113233 is a `hidden beast` number, since 2 + 2 + 14 + 321 + 1 + 323 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47252760129 + 174179353104 = 217377^2 + 417348^2 .

It is not a de Polignac number, because 221432113233 - 218 = 221431851089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221432113197 and 221432113206.

It is not an unprimeable number, because it can be changed into a prime (221432113933) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 820035 + ... + 1056087.

Almost surely, 2221432113233 is an apocalyptic number.

It is an amenable number.

221432113233 is a deficient number, since it is larger than the sum of its proper divisors (119376042455).

221432113233 is a wasteful number, since it uses less digits than its factorization.

221432113233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236415 (or 236406 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 221432113233 its reverse (332311234122), we get a palindrome (553743347355).

The spelling of 221432113233 in words is "two hundred twenty-one billion, four hundred thirty-two million, one hundred thirteen thousand, two hundred thirty-three".

Divisors: 1 3 9 27 37 81 111 313 333 939 999 2817 2997 8451 11581 25353 34743 104229 236053 312687 708159 938061 2124477 6373431 8733961 19120293 26201883 73884589 78605649 221653767 235816947 664961301 707450841 1994883903 2733729793 5984651709 8201189379 24603568137 73810704411 221432113233