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64221416 = 2374183337
BaseRepresentation
bin1111010011111…
…1000011101000
311110211210012222
43310333003220
5112420041131
610212253212
71406605310
oct364770350
9143753188
1064221416
1133284556
1219611208
13103c754c
14875a440
15598887b
hex3d3f0e8

64221416 has 64 divisors (see below), whose sum is σ = 143095680. Its totient is φ = 26449920.

The previous prime is 64221389. The next prime is 64221419. The reversal of 64221416 is 61412246.

It is not an unprimeable number, because it can be changed into a prime (64221419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190400 + ... + 190736.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 264221416 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 64221416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71547840).

64221416 is an abundant number, since it is smaller than the sum of its proper divisors (78874264).

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

64221416 is a wasteful number, since it uses less digits than its factorization.

64221416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 470 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 64221416 is about 8013.8265516543. The cubic root of 64221416 is about 400.4607523976.

The spelling of 64221416 in words is "sixty-four million, two hundred twenty-one thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 41 56 82 83 164 166 287 328 332 337 574 581 664 674 1148 1162 1348 2296 2324 2359 2696 3403 4648 4718 6806 9436 13612 13817 18872 23821 27224 27634 27971 47642 55268 55942 95284 96719 110536 111884 190568 193438 195797 223768 386876 391594 773752 783188 1146811 1566376 2293622 4587244 8027677 9174488 16055354 32110708 64221416