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66022424 = 231317107349
BaseRepresentation
bin1111101111011…
…0110000011000
311121020021201222
43323312300120
5113400204144
610315031212
71431116126
oct373666030
9147207658
1066022424
11342a4696
121a13b508
13108a8230
148aa8916
155be22ee
hex3ef6c18

66022424 has 64 divisors (see below), whose sum is σ = 142884000. Its totient is φ = 28329984.

The previous prime is 66022417. The next prime is 66022459. The reversal of 66022424 is 42422066.

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

It is a junction number, because it is equal to n+sod(n) for n = 66022393 and 66022402.

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, 189002 + ... + 189350.

Almost surely, 266022424 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 66022424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71442000).

66022424 is an abundant number, since it is smaller than the sum of its proper divisors (76861576).

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

66022424 is a wasteful number, since it uses less digits than its factorization.

66022424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 66022424 is about 8125.4183892277. The cubic root of 66022424 is about 404.1697649436.

The spelling of 66022424 in words is "sixty-six million, twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 107 136 214 221 349 428 442 698 856 884 1391 1396 1768 1819 2782 2792 3638 4537 5564 5933 7276 9074 11128 11866 14552 18148 23647 23732 36296 37343 47294 47464 74686 77129 94588 149372 154258 189176 298744 308516 485459 617032 634831 970918 1269662 1941836 2539324 3883672 5078648 8252803 16505606 33011212 66022424