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66132220 = 22571142943
BaseRepresentation
bin1111110001000…
…1100011111100
311121102212100111
43330101203330
5113412212340
610321235404
71432054210
oct374214374
9147385314
1066132220
113436a130
121a192b64
13109161bb
148ad6940
155c14aea
hex3f118fc

66132220 has 48 divisors (see below), whose sum is σ = 173150208. Its totient is φ = 20612160.

The previous prime is 66132203. The next prime is 66132239. The reversal of 66132220 is 2223166.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 66132191 and 66132200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19932 + ... + 23011.

It is an arithmetic number, because the mean of its divisors is an integer number (3607296).

Almost surely, 266132220 is an apocalyptic number.

It is an amenable number.

66132220 is an abundant number, since it is smaller than the sum of its proper divisors (107017988).

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

66132220 is a wasteful number, since it uses less digits than its factorization.

66132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42970 (or 42968 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 66132220 is about 8132.1719116113. The cubic root of 66132220 is about 404.3936870807.

Adding to 66132220 its reverse (2223166), we get a palindrome (68355386).

The spelling of 66132220 in words is "sixty-six million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 42943 85886 171772 214715 300601 429430 472373 601202 858860 944746 1202404 1503005 1889492 2361865 3006010 3306611 4723730 6012020 6613222 9447460 13226444 16533055 33066110 66132220