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66122433 = 3313243337
BaseRepresentation
bin1111110000111…
…1001011000001
311121102100221000
43330033023001
5113411404213
610321122213
71432013526
oct374171301
9147370830
1066122433
1134362843
121a189369
1310911900
148ad314d
155c11c73
hex3f0f2c1

66122433 has 48 divisors (see below), whose sum is σ = 108863040. Its totient is φ = 39626496.

The previous prime is 66122431. The next prime is 66122449. The reversal of 66122433 is 33422166.

66122433 is a `hidden beast` number, since 6 + 612 + 2 + 43 + 3 = 666.

It is not a de Polignac number, because 66122433 - 21 = 66122431 is a prime.

It is a super-2 number, since 2×661224332 = 8744352291678978, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 66122397 and 66122406.

It is not an unprimeable number, because it can be changed into a prime (66122431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196041 + ... + 196377.

It is an arithmetic number, because the mean of its divisors is an integer number (2267980).

Almost surely, 266122433 is an apocalyptic number.

It is an amenable number.

66122433 is a deficient number, since it is larger than the sum of its proper divisors (42740607).

66122433 is a wasteful number, since it uses less digits than its factorization.

66122433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 396 counting only the distinct ones).

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

The square root of 66122433 is about 8131.5701435824. The cubic root of 66122433 is about 404.3737371669.

Adding to 66122433 its reverse (33422166), we get a palindrome (99544599).

It can be divided in two parts, 6612 and 2433, that added together give a triangular number (9045 = T134).

The spelling of 66122433 in words is "sixty-six million, one hundred twenty-two thousand, four hundred thirty-three".

Divisors: 1 3 9 13 27 39 43 117 129 169 337 351 387 507 559 1011 1161 1521 1677 3033 4381 4563 5031 7267 9099 13143 14491 15093 21801 39429 43473 56953 65403 118287 130419 170859 188383 196209 391257 512577 565149 1537731 1695447 2448979 5086341 7346937 22040811 66122433