Search a number
-
+
14002241220 = 22325117071839
BaseRepresentation
bin11010000101001100…
…10011111011000100
31100010211200112221200
431002212103323010
5212134033204340
610233232342500
71003663041462
oct150246237304
940124615850
1014002241220
115a3599a090
1228693a4a30
131421c15046
1496b8db832
1556e427330
hex342993ec4

14002241220 has 72 divisors (see below), whose sum is σ = 46334695680. Its totient is φ = 3394482240.

The previous prime is 14002241203. The next prime is 14002241221. The reversal of 14002241220 is 2214220041.

14002241220 is a `hidden beast` number, since 1 + 400 + 2 + 2 + 41 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14002241193 and 14002241202.

It is not an unprimeable number, because it can be changed into a prime (14002241221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3533940 + ... + 3537899.

It is an arithmetic number, because the mean of its divisors is an integer number (643537440).

Almost surely, 214002241220 is an apocalyptic number.

14002241220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14002241220 is an abundant number, since it is smaller than the sum of its proper divisors (32332454460).

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

14002241220 is a wasteful number, since it uses less digits than its factorization.

14002241220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7071865 (or 7071860 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14002241220 its reverse (2214220041), we get a palindrome (16216461261).

The spelling of 14002241220 in words is "fourteen billion, two million, two hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 7071839 14143678 21215517 28287356 35359195 42431034 63646551 70718390 77790229 84862068 106077585 127293102 141436780 155580458 212155170 233370687 254586204 311160916 318232755 388951145 424310340 466741374 636465510 700112061 777902290 933482748 1166853435 1272931020 1400224122 1555804580 2333706870 2800448244 3500560305 4667413740 7001120610 14002241220