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102221808 = 243131071531
BaseRepresentation
bin1100001011111…
…00011111110000
321010100101221220
412011330133300
5202132044213
614050545040
72350604523
oct605743760
9233311856
10102221808
1152779837
122a298180
1318240ba0
14d80cbba
158e92e23
hex617c7f0

102221808 has 80 divisors (see below), whose sum is σ = 287231616. Its totient is φ = 31138560.

The previous prime is 102221803. The next prime is 102221831. The reversal of 102221808 is 808122201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221803) 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, 66003 + ... + 67533.

Almost surely, 2102221808 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 102221808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143615808).

102221808 is an abundant number, since it is smaller than the sum of its proper divisors (185009808).

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

102221808 is a wasteful number, since it uses less digits than its factorization.

102221808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 102221808 is about 10110.4801072946. The cubic root of 102221808 is about 467.5713073382.

The spelling of 102221808 in words is "one hundred two million, two hundred twenty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 107 156 208 214 312 321 428 624 642 856 1284 1391 1531 1712 2568 2782 3062 4173 4593 5136 5564 6124 8346 9186 11128 12248 16692 18372 19903 22256 24496 33384 36744 39806 59709 66768 73488 79612 119418 159224 163817 238836 318448 327634 477672 491451 655268 955344 982902 1310536 1965804 2129621 2621072 3931608 4259242 6388863 7863216 8518484 12777726 17036968 25555452 34073936 51110904 102221808