Search a number
-
+
247430213120 = 295229422063
BaseRepresentation
bin1110011001101111111…
…1010110111000000000
3212122122211121011020102
43212123333112320000
513023214113304440
6305400132101532
723606360052506
oct3463377267000
9778584534212
10247430213120
1195a309a5342
123bb53a648a8
131a442866c3c
14bd933d6676
156682405b15
hex399bfd6e00

247430213120 has 80 divisors (see below), whose sum is σ = 595844631360. Its totient is φ = 98539659264.

The previous prime is 247430213099. The next prime is 247430213141. The reversal of 247430213120 is 21312034742.

It is an interprime number because it is at equal distance from previous prime (247430213099) and next prime (247430213141).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2474302131202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375209 + ... + 797271.

It is an arithmetic number, because the mean of its divisors is an integer number (7448057892).

Almost surely, 2247430213120 is an apocalyptic number.

247430213120 is a gapful number since it is divisible by the number (20) 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 247430213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297922315680).

247430213120 is an abundant number, since it is smaller than the sum of its proper divisors (348414418240).

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

247430213120 is an equidigital number, since it uses as much as digits as its factorization.

247430213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422315 (or 422299 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

Adding to 247430213120 its reverse (21312034742), we get a palindrome (268742247862).

The spelling of 247430213120 in words is "two hundred forty-seven billion, four hundred thirty million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 229 256 320 458 512 640 916 1145 1280 1832 2290 2560 3664 4580 7328 9160 14656 18320 29312 36640 58624 73280 117248 146560 293120 422063 586240 844126 1688252 2110315 3376504 4220630 6753008 8441260 13506016 16882520 27012032 33765040 54024064 67530080 96652427 108048128 135060160 193304854 216096256 270120320 386609708 483262135 540240640 773219416 966524270 1080481280 1546438832 1933048540 3092877664 3866097080 6185755328 7732194160 12371510656 15464388320 24743021312 30928776640 49486042624 61857553280 123715106560 247430213120