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23293474884 = 22346121392
BaseRepresentation
bin10101101100011001…
…100011100001000100
32020010100210010110000
4111230121203201010
5340201112144014
614411220001300
71453143161331
oct255431434104
966110703400
1023293474884
119973617499
124620b30230
132272b13c44
1411ad883988
15914e80509
hex56c663844

23293474884 has 135 divisors (see below), whose sum is σ = 62356955661. Its totient is φ = 7582260960.

The previous prime is 23293474879. The next prime is 23293474891. The reversal of 23293474884 is 48847439232.

The square root of 23293474884 is 152622.

It is a perfect power (a square), and thus also a powerful number.

23293474884 is a `hidden beast` number, since 2 + 3 + 2 + 93 + 474 + 8 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 757460484 + 22536014400 = 27522^2 + 150120^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 23293474884.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 167578887 + ... + 167579025.

Almost surely, 223293474884 is an apocalyptic number.

23293474884 is the 152622-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23293474884

23293474884 is an abundant number, since it is smaller than the sum of its proper divisors (39063480777).

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

23293474884 is an equidigital number, since it uses as much as digits as its factorization.

23293474884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 205 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 23293474884 in words is "twenty-three billion, two hundred ninety-three million, four hundred seventy-four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 139 162 183 244 278 324 366 417 549 556 732 834 1098 1251 1647 1668 2196 2502 3294 3721 3753 4941 5004 6588 7442 7506 8479 9882 11163 11259 14884 15012 16958 19321 19764 22326 22518 25437 33489 33916 38642 44652 45036 50874 57963 66978 76311 77284 100467 101748 115926 133956 152622 173889 200934 228933 231852 301401 305244 347778 401868 457866 517219 521667 602802 686799 695556 915732 1034438 1043334 1178581 1205604 1373598 1551657 1565001 2068876 2086668 2357162 2747196 3103314 3130002 3535743 4654971 4714324 6206628 6260004 7071486 9309942 10607229 13964913 14142972 18619884 21214458 27929826 31821687 41894739 42428916 55859652 63643374 71893441 83789478 95465061 127286748 143786882 167578956 190930122 215680323 287573764 381860244 431360646 647040969 862721292 1294081938 1941122907 2588163876 3882245814 5823368721 7764491628 11646737442 23293474884