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2321022420 = 22325101127669
BaseRepresentation
bin1000101001010111…
…1111110111010100
312222202102011012100
42022111333313110
514223140204140
61022151322100
7111342236133
oct21225776724
95882364170
102321022420
11a9117a552
12549380330
132acb25a62
1418038191a
15d8b75530
hex8a57fdd4

2321022420 has 72 divisors (see below), whose sum is σ = 7110197640. Its totient is φ = 612806400.

The previous prime is 2321022419. The next prime is 2321022433. The reversal of 2321022420 is 242201232.

2321022420 is a `hidden beast` number, since 232 + 10 + 2 + 2 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 770395536 + 1550626884 = 27756^2 + 39378^2 .

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 = 2321022393 and 2321022402.

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 23 ways as a sum of consecutive naturals, for example, 45655 + ... + 82014.

It is an arithmetic number, because the mean of its divisors is an integer number (98752745).

Almost surely, 22321022420 is an apocalyptic number.

2321022420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2321022420 is an abundant number, since it is smaller than the sum of its proper divisors (4789175220).

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

2321022420 is a wasteful number, since it uses less digits than its factorization.

2321022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127785 (or 127780 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2321022420 is about 48176.9905660368. The cubic root of 2321022420 is about 1324.0156296169.

Adding to 2321022420 its reverse (242201232), we get a palindrome (2563223652).

The spelling of 2321022420 in words is "two billion, three hundred twenty-one million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 127669 255338 383007 510676 638345 766014 1149021 1276690 1532028 1915035 2298042 2553380 3830070 4596084 5745105 7660140 11490210 12894569 22980420 25789138 38683707 51578276 64472845 77367414 116051121 128945690 154734828 193418535 232102242 257891380 386837070 464204484 580255605 773674140 1160511210 2321022420