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197881216 = 27131091091
BaseRepresentation
bin10111100101101…
…10110110000000
3111210100101222221
423302312312000
5401124144331
631345140424
74621651111
oct1362666600
9453311887
10197881216
11a17760a5
125632a714
1331cc4aa0
141c3d0208
151258b711
hexbcb6d80

197881216 has 64 divisors (see below), whose sum is σ = 428828400. Its totient is φ = 90408960.

The previous prime is 197881169. The next prime is 197881223. The reversal of 197881216 is 612188791.

It is a happy number.

197881216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180831 + ... + 181921.

Almost surely, 2197881216 is an apocalyptic number.

197881216 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 197881216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214414200).

197881216 is an abundant number, since it is smaller than the sum of its proper divisors (230947184).

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

197881216 is a wasteful number, since it uses less digits than its factorization.

197881216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1215 counting only the distinct ones).

The product of its digits is 48384, while the sum is 43.

The square root of 197881216 is about 14067.0258405962. The cubic root of 197881216 is about 582.7310911757.

The spelling of 197881216 in words is "one hundred ninety-seven million, eight hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 109 128 208 218 416 436 832 872 1091 1417 1664 1744 2182 2834 3488 4364 5668 6976 8728 11336 13952 14183 17456 22672 28366 34912 45344 56732 69824 90688 113464 118919 139648 181376 226928 237838 453856 475676 907712 951352 1545947 1815424 1902704 3091894 3805408 6183788 7610816 12367576 15221632 24735152 49470304 98940608 197881216