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414250224200 = 23527126412
BaseRepresentation
bin1100000011100110011…
…11001100101001001000
31110121020210212202122022
412001303033030221020
523241341024133300
6514145351544012
741633335544111
oct6016317145110
91417223782568
10414250224200
1114a7564a779a
126834b68b008
13300a9a3a977
141609a9b3208
15ab979a7285
hex60733cca48

414250224200 has 108 divisors (see below), whose sum is σ = 978414451035. Its totient is φ = 163111424000.

The previous prime is 414250224197. The next prime is 414250224253. The reversal of 414250224200 is 2422052414.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 332866686916 + 81383537284 = 576946^2 + 285278^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=455110.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 414250224200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 646255880 + ... + 646256520.

Almost surely, 2414250224200 is an apocalyptic number.

414250224200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414250224200

414250224200 is an abundant number, since it is smaller than the sum of its proper divisors (564164226835).

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

414250224200 is an frugal number, since it uses more digits than its factorization.

414250224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 414250224200 its reverse (2422052414), we get a palindrome (416672276614).

The spelling of 414250224200 in words is "four hundred fourteen billion, two hundred fifty million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 641 710 1282 1420 1775 2564 2840 3205 3550 5041 5128 6410 7100 10082 12820 14200 16025 20164 25205 25640 32050 40328 45511 50410 64100 91022 100820 126025 128200 182044 201640 227555 252050 364088 410881 455110 504100 821762 910220 1008200 1137775 1643524 1820440 2054405 2275550 3231281 3287048 4108810 4551100 6462562 8217620 9102200 10272025 12925124 16156405 16435240 20544050 25850248 29172551 32312810 41088100 58345102 64625620 80782025 82176200 116690204 129251240 145862755 161564050 233380408 291725510 323128100 583451020 646256200 729313775 1166902040 1458627550 2071251121 2917255100 4142502242 5834510200 8285004484 10356255605 16570008968 20712511210 41425022420 51781278025 82850044840 103562556050 207125112100 414250224200