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214646969000 = 2353699730677
BaseRepresentation
bin1100011111100111110…
…1001101001010101000
3202112001010010210200202
43013321331031022220
512004044111002000
6242335113251332
721336103063352
oct3077175151250
9675033123622
10214646969000
1183038688862
1235724a03b48
1317319990539
14a56348a0d2
1558b42a1dd5
hex31f9f4d2a8

214646969000 has 64 divisors (see below), whose sum is σ = 502362066960. Its totient is φ = 85843718400.

The previous prime is 214646968993. The next prime is 214646969029. The reversal of 214646969000 is 969646412.

It can be written as a sum of positive squares in 8 ways, for example, as 9722354404 + 204924614596 = 98602^2 + 452686^2 .

It is a super-2 number, since 2×2146469690002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6981662 + ... + 7012338.

Almost surely, 2214646969000 is an apocalyptic number.

214646969000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214646969000 is an abundant number, since it is smaller than the sum of its proper divisors (287715097960).

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

214646969000 is a wasteful number, since it uses less digits than its factorization.

214646969000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37695 (or 37681 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The spelling of 214646969000 in words is "two hundred fourteen billion, six hundred forty-six million, nine hundred sixty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 6997 13994 27988 30677 34985 55976 61354 69970 122708 139940 153385 174925 245416 279880 306770 349850 613540 699700 766925 874625 1227080 1399400 1533850 1749250 3067700 3498500 3834625 6135400 6997000 7669250 15338500 30677000 214646969 429293938 858587876 1073234845 1717175752 2146469690 4292939380 5366174225 8585878760 10732348450 21464696900 26830871125 42929393800 53661742250 107323484500 214646969000