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197332992 = 2123253101
BaseRepresentation
bin10111100001100…
…01000000000000
3111202022112222100
423300301000000
5401004123432
631325310400
74614205563
oct1360610000
9452275870
10197332992
11a143121a
1256105400
1331b623ac
141c2ca4da
15124ce07c
hexbc31000

197332992 has 156 divisors (see below), whose sum is σ = 586508364. Its totient is φ = 63897600.

The previous prime is 197332913. The next prime is 197332997. The reversal of 197332992 is 299233791.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 170459136 + 26873856 = 13056^2 + 5184^2 .

It is not an unprimeable number, because it can be changed into a prime (197332997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1953742 + ... + 1953842.

It is an arithmetic number, because the mean of its divisors is an integer number (3759669).

Almost surely, 2197332992 is an apocalyptic number.

197332992 is a gapful number since it is divisible by the number (12) 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 197332992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293254182).

197332992 is an abundant number, since it is smaller than the sum of its proper divisors (389175372).

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

197332992 is a wasteful number, since it uses less digits than its factorization.

197332992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 159 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 197332992 is about 14047.5261879094. The cubic root of 197332992 is about 582.1924470741.

The spelling of 197332992 in words is "one hundred ninety-seven million, three hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 101 106 128 144 159 192 202 212 256 288 303 318 384 404 424 477 512 576 606 636 768 808 848 909 954 1024 1152 1212 1272 1536 1616 1696 1818 1908 2048 2304 2424 2544 3072 3232 3392 3636 3816 4096 4608 4848 5088 5353 6144 6464 6784 7272 7632 9216 9696 10176 10706 12288 12928 13568 14544 15264 16059 18432 19392 20352 21412 25856 27136 29088 30528 32118 36864 38784 40704 42824 48177 51712 54272 58176 61056 64236 77568 81408 85648 96354 103424 108544 116352 122112 128472 155136 162816 171296 192708 206848 217088 232704 244224 256944 310272 325632 342592 385416 413696 465408 488448 513888 620544 651264 685184 770832 930816 976896 1027776 1241088 1370368 1541664 1861632 1953792 2055552 2740736 3083328 3723264 4111104 5481472 6166656 8222208 10962944 12333312 16444416 21925888 24666624 32888832 49333248 65777664 98666496 197332992