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214663512400 = 24521928245199
BaseRepresentation
bin1100011111101011110…
…0010100000101010000
3202112002021021021222021
43013322330110011100
512004112324344100
6242340504021224
721336363515011
oct3077274240520
9675067237867
10214663512400
1183046a58097
123572a461814
131732023352c
14a565755008
1558b596da1a
hex31faf14150

214663512400 has 60 divisors (see below), whose sum is σ = 542872744000. Its totient is φ = 81346170240.

The previous prime is 214663512383. The next prime is 214663512443. The reversal of 214663512400 is 4215366412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14115000 + ... + 14130199.

Almost surely, 2214663512400 is an apocalyptic number.

214663512400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214663512400 is an abundant number, since it is smaller than the sum of its proper divisors (328209231600).

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

214663512400 is a wasteful number, since it uses less digits than its factorization.

214663512400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28245236 (or 28245225 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 214663512400 its reverse (4215366412), we get a palindrome (218878878812).

The spelling of 214663512400 in words is "two hundred fourteen billion, six hundred sixty-three million, five hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 28245199 56490398 112980796 141225995 225961592 282451990 451923184 536658781 564903980 706129975 1073317562 1129807960 1412259950 2146635124 2259615920 2683293905 2824519900 4293270248 5366587810 5649039800 8586540496 10733175620 11298079600 13416469525 21466351240 26832939050 42932702480 53665878100 107331756200 214663512400