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221214125120525 = 52172239241753003
BaseRepresentation
bin110010010011000101101101…
…010110001101110000001101
31002000020212022201201010212122
4302103011231112031300031
5212443333012012324100
62102252211030342325
764411123145520035
oct6223055526156015
91060225281633778
10221214125120525
11645384246545a9
1220988942aba9a5
139658530366ca4
143c8ab6c3328c5
151a89448c0b985
hexc9316d58dc0d

221214125120525 has 72 divisors (see below), whose sum is σ = 292736079941760. Its totient is φ = 165792562647040.

The previous prime is 221214125120509. The next prime is 221214125120531. The reversal of 221214125120525 is 525021521412122.

It is not a de Polignac number, because 221214125120525 - 24 = 221214125120509 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4173588674 + ... + 4173641676.

It is an arithmetic number, because the mean of its divisors is an integer number (4065778888080).

Almost surely, 2221214125120525 is an apocalyptic number.

221214125120525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221214125120525 is a deficient number, since it is larger than the sum of its proper divisors (71521954821235).

221214125120525 is a wasteful number, since it uses less digits than its factorization.

221214125120525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55703 (or 55681 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

Adding to 221214125120525 its reverse (525021521412122), we get a palindrome (746235646532647).

The spelling of 221214125120525 in words is "two hundred twenty-one trillion, two hundred fourteen billion, one hundred twenty-five million, one hundred twenty thousand, five hundred twenty-five".

Divisors: 1 5 17 25 85 239 289 425 1195 1445 2417 4063 5975 7225 12085 20315 41089 53003 60425 69071 101575 205445 265015 345355 577663 698513 901051 1027225 1325075 1726775 2888315 3492565 4505255 9820271 12667717 14441575 15317867 17462825 22526275 49101355 63338585 76589335 128108251 166944607 215351189 245506775 316692925 382946675 640541255 834723035 1076755945 2177840267 3202706275 3660970213 4173615175 5383779725 10889201335 18304851065 30617871989 37023284539 54446006675 91524255325 153089359945 185116422695 520503823813 765446799725 925582113475 2602519119065 8848565004821 13012595595325 44242825024105 221214125120525