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196922448 = 2433599761
BaseRepresentation
bin10111011110011…
…00110001010000
3111201112200211000
423233030301100
5400403004243
631312422000
74610545632
oct1357146120
9451480730
10196922448
11a1180828
1255b47900
1331a4a578
141c220a52
151244c5d3
hexbbccc50

196922448 has 80 divisors (see below), whose sum is σ = 566928000. Its totient is φ = 65445120.

The previous prime is 196922443. The next prime is 196922461. The reversal of 196922448 is 844229691.

196922448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196922443) 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, 258388 + ... + 259148.

It is an arithmetic number, because the mean of its divisors is an integer number (7086600).

Almost surely, 2196922448 is an apocalyptic number.

196922448 is a gapful number since it is divisible by the number (18) 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 196922448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283464000).

196922448 is an abundant number, since it is smaller than the sum of its proper divisors (370005552).

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

196922448 is a wasteful number, since it uses less digits than its factorization.

196922448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1365 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 196922448 is about 14032.9059000622. The cubic root of 196922448 is about 581.7884234661.

The spelling of 196922448 in words is "one hundred ninety-six million, nine hundred twenty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 599 761 1198 1522 1797 2283 2396 3044 3594 4566 4792 5391 6088 6849 7188 9132 9584 10782 12176 13698 14376 16173 18264 20547 21564 27396 28752 32346 36528 41094 43128 54792 64692 82188 86256 109584 129384 164376 258768 328752 455839 911678 1367517 1823356 2735034 3646712 4102551 5470068 7293424 8205102 10940136 12307653 16410204 21880272 24615306 32820408 49230612 65640816 98461224 196922448