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2241124020 = 2232517836983
BaseRepresentation
bin1000010110010100…
…1101011010110100
312210012001220012100
42011211031122310
514042211432040
61010215022100
7106352145162
oct20545153264
95705056170
102241124020
11a50068713
1252666a930
132993cc9b5
14173904232
15d1b41b30
hex8594d6b4

2241124020 has 72 divisors (see below), whose sum is σ = 6802862976. Its totient is φ = 597212352.

The previous prime is 2241124019. The next prime is 2241124021. The reversal of 2241124020 is 204211422.

2241124020 = 1052 + 1062 + ... + 18872.

It is an interprime number because it is at equal distance from previous prime (2241124019) and next prime (2241124021).

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 = 2241123984 and 2241124002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241124021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317449 + ... + 324431.

It is an arithmetic number, because the mean of its divisors is an integer number (94484208).

Almost surely, 22241124020 is an apocalyptic number.

2241124020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241124020 is an abundant number, since it is smaller than the sum of its proper divisors (4561738956).

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

2241124020 is a wasteful number, since it uses less digits than its factorization.

2241124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8781 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2241124020 is about 47340.5114040818. The cubic root of 2241124020 is about 1308.6453412859.

Adding to 2241124020 its reverse (204211422), we get a palindrome (2445335442).

The spelling of 2241124020 in words is "two billion, two hundred forty-one million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1783 3566 5349 6983 7132 8915 10698 13966 16047 17830 20949 21396 26745 27932 32094 34915 35660 41898 53490 62847 64188 69830 80235 83796 104745 106980 125694 139660 160470 209490 251388 314235 320940 418980 628470 1256940 12450689 24901378 37352067 49802756 62253445 74704134 112056201 124506890 149408268 186760335 224112402 249013780 373520670 448224804 560281005 747041340 1120562010 2241124020