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197220768 = 25323179499
BaseRepresentation
bin10111100000101…
…01100110100000
3111202002212000220
423300111212200
5400442031033
631323043040
74613230443
oct1360254640
9452085026
10197220768
11a1364978
1256070480
1331b232a4
141c29b65a
15124aabb3
hexbc159a0

197220768 has 96 divisors (see below), whose sum is σ = 544320000. Its totient is φ = 62405376.

The previous prime is 197220763. The next prime is 197220797. The reversal of 197220768 is 867022791.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (197220761) 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, 394983 + ... + 395481.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2197220768 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 197220768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160000).

197220768 is an abundant number, since it is smaller than the sum of its proper divisors (347099232).

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

197220768 is a wasteful number, since it uses less digits than its factorization.

197220768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 197220768 is about 14043.5311798707. The cubic root of 197220768 is about 582.0820611489.

The spelling of 197220768 in words is "one hundred ninety-seven million, two hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 179 184 276 358 368 499 537 552 716 736 998 1074 1104 1432 1497 1996 2148 2208 2864 2994 3992 4117 4296 5728 5988 7984 8234 8592 11477 11976 12351 15968 16468 17184 22954 23952 24702 32936 34431 45908 47904 49404 65872 68862 89321 91816 98808 131744 137724 178642 183632 197616 267963 275448 357284 367264 395232 535926 550896 714568 1071852 1101792 1429136 2054383 2143704 2858272 4108766 4287408 6163149 8217532 8574816 12326298 16435064 24652596 32870128 49305192 65740256 98610384 197220768