Search a number
-
+
2473311420 = 22325107281457
BaseRepresentation
bin1001001101101011…
…1011110010111100
320101100222020102200
42103122323302330
520031131431140
61045231351500
7115201541316
oct22332736274
96340866380
102473311420
11105a135528
12590382590
133055467a8
141966a47b6
15e7208030
hex936bbcbc

2473311420 has 144 divisors (see below), whose sum is σ = 7616071008. Its totient is φ = 649635840.

The previous prime is 2473311413. The next prime is 2473311431. The reversal of 2473311420 is 241133742.

It is a happy number.

It is a super-2 number, since 2×24733114202 = 12234538760604832800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5411832 + ... + 5412288.

It is an arithmetic number, because the mean of its divisors is an integer number (52889382).

Almost surely, 22473311420 is an apocalyptic number.

2473311420 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 2473311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808035504).

2473311420 is an abundant number, since it is smaller than the sum of its proper divisors (5142759588).

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

2473311420 is a wasteful number, since it uses less digits than its factorization.

2473311420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2473311420 is about 49732.3980921894. The cubic root of 2473311420 is about 1352.3619228480.

The spelling of 2473311420 in words is "two billion, four hundred seventy-three million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 281 321 428 457 535 562 642 843 914 963 1070 1124 1284 1371 1405 1605 1686 1828 1926 2140 2285 2529 2742 2810 3210 3372 3852 4113 4215 4570 4815 5058 5484 5620 6420 6855 8226 8430 9140 9630 10116 12645 13710 16452 16860 19260 20565 25290 27420 30067 41130 48899 50580 60134 82260 90201 97798 120268 128417 146697 150335 180402 195596 244495 256834 270603 293394 300670 360804 385251 440091 451005 488990 513668 541206 586788 601340 642085 733485 770502 880182 902010 977980 1082412 1155753 1284170 1353015 1466970 1541004 1760364 1804020 1926255 2200455 2311506 2568340 2706030 2933940 3852510 4400910 4623012 5412060 5778765 7705020 8801820 11557530 13740619 23115060 27481238 41221857 54962476 68703095 82443714 123665571 137406190 164887428 206109285 247331142 274812380 412218570 494662284 618327855 824437140 1236655710 2473311420