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21530052224400 = 2435219791074671
BaseRepresentation
bin1001110010100110110110…
…00111010110010110010000
32211020020211100122211011110
410321103123013112112100
510310222021332140100
6113442434111213320
74351331523240006
oct471233307262620
984206740584143
1021530052224400
116950931214415
1224b8802b17240
13c02376849135
145460bac48a76
152750a5723250
hex1394db1d6590

21530052224400 has 120 divisors (see below), whose sum is σ = 69318025755264. Its totient is φ = 5712203302400.

The previous prime is 21530052224383. The next prime is 21530052224413. The reversal of 21530052224400 is 442225003512.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45300936 + ... + 45773735.

Almost surely, 221530052224400 is an apocalyptic number.

21530052224400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21530052224400 is an abundant number, since it is smaller than the sum of its proper divisors (47787973530864).

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

21530052224400 is a wasteful number, since it uses less digits than its factorization.

21530052224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91074889 (or 91074878 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 21530052224400 its reverse (442225003512), we get a palindrome (21972277227912).

The spelling of 21530052224400 in words is "twenty-one trillion, five hundred thirty billion, fifty-two million, two hundred twenty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 197 200 240 300 394 400 591 600 788 985 1182 1200 1576 1970 2364 2955 3152 3940 4728 4925 5910 7880 9456 9850 11820 14775 15760 19700 23640 29550 39400 47280 59100 78800 118200 236400 91074671 182149342 273224013 364298684 455373355 546448026 728597368 910746710 1092896052 1366120065 1457194736 1821493420 2185792104 2276866775 2732240130 3642986840 4371584208 4553733550 5464480260 6830600325 7285973680 9107467100 10928960520 13661200650 17941710187 18214934200 21857921040 27322401300 35883420374 36429868400 53825130561 54644802600 71766840748 89708550935 107650261122 109289605200 143533681496 179417101870 215300522244 269125652805 287067362992 358834203740 430601044488 448542754675 538251305610 717668407480 861202088976 897085509350 1076502611220 1345628264025 1435336814960 1794171018700 2153005222440 2691256528050 3588342037400 4306010444880 5382513056100 7176684074800 10765026112200 21530052224400