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11233664 = 271343157
BaseRepresentation
bin101010110110…
…100110000000
3210010201200122
4222312212000
510333434124
61040435412
7164325131
oct52664600
923121618
1011233664
116383022
123918b68
132434250
1416c5c88
15ebd75e
hexab6980

11233664 has 64 divisors (see below), whose sum is σ = 24818640. Its totient is φ = 5031936.

The previous prime is 11233661. The next prime is 11233697. The reversal of 11233664 is 46633211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71474 + ... + 71630.

Almost surely, 211233664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11233664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12409320).

11233664 is an abundant number, since it is smaller than the sum of its proper divisors (13584976).

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

11233664 is a wasteful number, since it uses less digits than its factorization.

11233664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 11233664 is about 3351.6658544670. The cubic root of 11233664 is about 223.9617281553.

Adding to 11233664 its reverse (46633211), we get a palindrome (57866875).

The spelling of 11233664 in words is "eleven million, two hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 157 172 208 314 344 416 559 628 688 832 1118 1256 1376 1664 2041 2236 2512 2752 4082 4472 5024 5504 6751 8164 8944 10048 13502 16328 17888 20096 27004 32656 35776 54008 65312 71552 87763 108016 130624 175526 216032 261248 351052 432064 702104 864128 1404208 2808416 5616832 11233664