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2321002420 = 2251161971783
BaseRepresentation
bin1000101001010111…
…1010111110110100
312222202101010202121
42022111322332310
514223134034140
61022151045324
7111342123622
oct21225727664
95882333677
102321002420
11a91166520
12549370844
132acb19919
14180378512
15d8b6e64a
hex8a57afb4

2321002420 has 96 divisors (see below), whose sum is σ = 5463150336. Its totient is φ = 821145600.

The previous prime is 2321002391. The next prime is 2321002451. The reversal of 2321002420 is 242001232.

It is a junction number, because it is equal to n+sod(n) for n = 2321002394 and 2321002403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1300849 + ... + 1302631.

It is an arithmetic number, because the mean of its divisors is an integer number (56907816).

Almost surely, 22321002420 is an apocalyptic number.

2321002420 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 2321002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731575168).

2321002420 is an abundant number, since it is smaller than the sum of its proper divisors (3142147916).

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

2321002420 is a wasteful number, since it uses less digits than its factorization.

2321002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2321002420 is about 48176.7829976224. The cubic root of 2321002420 is about 1324.0118266393.

Adding to 2321002420 its reverse (242001232), we get a palindrome (2563003652).

The spelling of 2321002420 in words is "two billion, three hundred twenty-one million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 97 110 122 194 220 244 305 388 485 610 671 970 1067 1220 1342 1783 1940 2134 2684 3355 3566 4268 5335 5917 6710 7132 8915 10670 11834 13420 17830 19613 21340 23668 29585 35660 39226 59170 65087 78452 98065 108763 118340 130174 172951 196130 217526 260348 325435 345902 392260 435052 543815 650870 691804 864755 1087630 1196393 1301740 1729510 1902461 2175260 2392786 3459020 3804922 4785572 5981965 7609844 9512305 10550011 11963930 19024610 21100022 23927860 38049220 42200044 52750055 105500110 116050121 211000220 232100242 464200484 580250605 1160501210 2321002420