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214210221240 = 23352377612399
BaseRepresentation
bin1100011101111111101…
…1001001010010111000
3202110220200022201101210
43013133323021102320
512002200304034430
6242223512243120
721322220560311
oct3073773112270
9673820281353
10214210221240
11829340a37a4
12356226a04a0
131727a353802
14a52147b608
15588ac802b0
hex31dfec94b8

214210221240 has 64 divisors (see below), whose sum is σ = 670571136000. Its totient is φ = 54639128192.

The previous prime is 214210221221. The next prime is 214210221241. The reversal of 214210221240 is 42122012412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214210221241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38803440 + ... + 38808959.

It is an arithmetic number, because the mean of its divisors is an integer number (10477674000).

Almost surely, 2214210221240 is an apocalyptic number.

214210221240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214210221240 is an abundant number, since it is smaller than the sum of its proper divisors (456360914760).

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

214210221240 is a wasteful number, since it uses less digits than its factorization.

214210221240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77612436 (or 77612432 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 214210221240 its reverse (42122012412), we get a palindrome (256332233652).

The spelling of 214210221240 in words is "two hundred fourteen billion, two hundred ten million, two hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 77612399 155224798 232837197 310449596 388061995 465674394 620899192 776123990 931348788 1164185985 1552247980 1785085177 1862697576 2328371970 3104495960 3570170354 4656743940 5355255531 7140340708 8925425885 9313487880 10710511062 14280681416 17850851770 21421022124 26776277655 35701703540 42842044248 53552555310 71403407080 107105110620 214210221240