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195822016 = 2613373631
BaseRepresentation
bin10111010110000…
…00000111000000
3111122110210022021
423223000013000
5400112301031
631233051224
74565313445
oct1353000700
9448423267
10195822016
11a0599a85
12556b6b14
1331753720
141c0159cc
15122d1511
hexbac01c0

195822016 has 56 divisors (see below), whose sum is σ = 420262304. Its totient is φ = 89994240.

The previous prime is 195822013. The next prime is 195822059. The reversal of 195822016 is 610228591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195822013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310021 + ... + 310651.

It is an arithmetic number, because the mean of its divisors is an integer number (7504684).

Almost surely, 2195822016 is an apocalyptic number.

195822016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210131152).

195822016 is an abundant number, since it is smaller than the sum of its proper divisors (224440288).

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

195822016 is a wasteful number, since it uses less digits than its factorization.

195822016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 195822016 is about 13993.6419848444. The cubic root of 195822016 is about 580.7026917196.

The spelling of 195822016 in words is "one hundred ninety-five million, eight hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 373 416 631 746 832 1262 1492 2524 2984 4849 5048 5968 8203 9698 10096 11936 16406 19396 20192 23872 32812 38792 40384 65624 77584 131248 155168 235363 262496 310336 470726 524992 941452 1882904 3059719 3765808 6119438 7531616 12238876 15063232 24477752 48955504 97911008 195822016