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66132222 = 231323191193
BaseRepresentation
bin1111110001000…
…1100011111110
311121102212100120
43330101203332
5113412212342
610321235410
71432054212
oct374214376
9147385316
1066132222
113436a132
121a192b66
13109161c0
148ad6942
155c14aec
hex3f118fe

66132222 has 64 divisors (see below), whose sum is σ = 150183936. Its totient is φ = 19261440.

The previous prime is 66132203. The next prime is 66132239. The reversal of 66132222 is 22223166.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66132192 and 66132201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342558 + ... + 342750.

It is an arithmetic number, because the mean of its divisors is an integer number (2346624).

Almost surely, 266132222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66132222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75091968).

66132222 is an abundant number, since it is smaller than the sum of its proper divisors (84051714).

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

66132222 is a wasteful number, since it uses less digits than its factorization.

66132222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425.

The product of its digits is 1728, while the sum is 24.

The square root of 66132222 is about 8132.1720345797. The cubic root of 66132222 is about 404.3936911573.

Adding to 66132222 its reverse (22223166), we get a palindrome (88355388).

The spelling of 66132222 in words is "sixty-six million, one hundred thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 191 193 299 382 386 573 579 598 897 1146 1158 1794 2483 2509 4393 4439 4966 5018 7449 7527 8786 8878 13179 13317 14898 15054 26358 26634 36863 57109 57707 73726 110589 114218 115414 171327 173121 221178 342654 346242 479219 847849 958438 1437657 1695698 2543547 2875314 5087094 11022037 22044074 33066111 66132222