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2197433664 = 26337916097
BaseRepresentation
bin1000001011111010…
…0010110101000000
312200010212012022000
42002332202311000
514000020334124
61002014344000
7105311610066
oct20276426500
95603765260
102197433664
11a28437488
12513abb000
1329034350a
1416bbb0036
15ccdb16c9
hex82fa2d40

2197433664 has 112 divisors (see below), whose sum is σ = 6542227200. Its totient is φ = 723161088.

The previous prime is 2197433647. The next prime is 2197433671. The reversal of 2197433664 is 4663347912.

2197433664 is a `hidden beast` number, since 219 + 74 + 3 + 366 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128464 + ... + 144560.

Almost surely, 22197433664 is an apocalyptic number.

2197433664 is a gapful number since it is divisible by the number (24) 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 2197433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271113600).

2197433664 is an abundant number, since it is smaller than the sum of its proper divisors (4344793536).

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

2197433664 is a wasteful number, since it uses less digits than its factorization.

2197433664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16197 (or 16181 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 2197433664 is about 46876.7923817319. The cubic root of 2197433664 is about 1300.0855296784.

The spelling of 2197433664 in words is "two billion, one hundred ninety-seven million, four hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 432 474 576 632 711 864 948 1264 1422 1728 1896 2133 2528 2844 3792 4266 5056 5688 7584 8532 11376 15168 16097 17064 22752 32194 34128 45504 48291 64388 68256 96582 128776 136512 144873 193164 257552 289746 386328 434619 515104 579492 772656 869238 1030208 1158984 1271663 1545312 1738476 2317968 2543326 3090624 3476952 3814989 4635936 5086652 6953904 7629978 9271872 10173304 11444967 13907808 15259956 20346608 22889934 27815616 30519912 34334901 40693216 45779868 61039824 68669802 81386432 91559736 122079648 137339604 183119472 244159296 274679208 366238944 549358416 732477888 1098716832 2197433664