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2152002420 = 2232529834967
BaseRepresentation
bin1000000001000100…
…1111001101110100
312112222101001100100
42000101033031310
513401403034140
6553312514100
7104220501351
oct20021171564
95488331310
102152002420
11a048272a7
1250084b930
13283ac7819
14165b45628
15c8dda530
hex8044f374

2152002420 has 144 divisors (see below), whose sum is σ = 6835570560. Its totient is φ = 547292928.

The previous prime is 2152002389. The next prime is 2152002431. The reversal of 2152002420 is 242002512.

It is a super-2 number, since 2×21520024202 = 9262228831371712800, which contains 22 as substring.

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 = 2152002393 and 2152002402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430777 + ... + 435743.

It is an arithmetic number, because the mean of its divisors is an integer number (47469240).

Almost surely, 22152002420 is an apocalyptic number.

2152002420 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 2152002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417785280).

2152002420 is an abundant number, since it is smaller than the sum of its proper divisors (4683568140).

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

2152002420 is a wasteful number, since it uses less digits than its factorization.

2152002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2152002420 is about 46389.6801023676. The cubic root of 2152002420 is about 1291.0634461362.

Adding to 2152002420 its reverse (242002512), we get a palindrome (2394004932).

The spelling of 2152002420 in words is "two billion, one hundred fifty-two million, two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 83 87 90 116 145 166 174 180 249 261 290 332 348 415 435 498 522 580 747 830 870 996 1044 1245 1305 1494 1660 1740 2407 2490 2610 2988 3735 4814 4967 4980 5220 7221 7470 9628 9934 12035 14442 14901 14940 19868 21663 24070 24835 28884 29802 36105 43326 44703 48140 49670 59604 72210 74505 86652 89406 99340 108315 144043 144420 149010 178812 216630 223515 288086 298020 412261 432129 433260 447030 576172 720215 824522 864258 894060 1236783 1296387 1440430 1649044 1728516 2061305 2160645 2473566 2592774 2880860 3710349 4122610 4321290 4947132 5185548 6183915 6481935 7420698 8245220 8642580 11955569 12367830 12963870 14841396 18551745 23911138 24735660 25927740 35866707 37103490 47822276 59777845 71733414 74206980 107600121 119555690 143466828 179333535 215200242 239111380 358667070 430400484 538000605 717334140 1076001210 2152002420