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2321220020 = 2257471811949
BaseRepresentation
bin1000101001011011…
…0000000110110100
312222202210012020212
42022112300012310
514223213020040
61022155444552
7111344021210
oct21226600664
95882705225
102321220020
11a912a4a59
12549456758
132acb94992
141803d3940
15d8bb3d65
hex8a5b01b4

2321220020 has 96 divisors (see below), whose sum is σ = 5723827200. Its totient is φ = 774213120.

The previous prime is 2321219993. The next prime is 2321220079. The reversal of 2321220020 is 200221232.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2321219977 and 2321220004.

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 31 ways as a sum of consecutive naturals, for example, 1190006 + ... + 1191954.

It is an arithmetic number, because the mean of its divisors is an integer number (59623200).

Almost surely, 22321220020 is an apocalyptic number.

2321220020 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 2321220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861913600).

2321220020 is an abundant number, since it is smaller than the sum of its proper divisors (3402607180).

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

2321220020 is a wasteful number, since it uses less digits than its factorization.

2321220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2321220020 is about 48179.0412939070. The cubic root of 2321220020 is about 1324.0532018612.

Adding to 2321220020 its reverse (200221232), we get a palindrome (2521441252).

The spelling of 2321220020 in words is "two billion, three hundred twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 181 188 235 329 362 470 658 724 905 940 1267 1316 1645 1810 1949 2534 3290 3620 3898 5068 6335 6580 7796 8507 9745 12670 13643 17014 19490 25340 27286 34028 38980 42535 54572 59549 68215 85070 91603 119098 136430 170140 183206 238196 272860 297745 352769 366412 458015 595490 641221 705538 916030 1190980 1282442 1411076 1763845 1832060 2469383 2564884 3206105 3527690 4938766 6412210 7055380 9877532 12346915 12824420 16580143 24693830 33160286 49387660 66320572 82900715 116061001 165801430 232122002 331602860 464244004 580305005 1160610010 2321220020