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2440231020 = 2232522360793
BaseRepresentation
bin1001000101110010…
…1111100001101100
320022001201120122200
42101130233201230
514444144343040
61042050341500
7114320423103
oct22134574154
96261646580
102440231020
1110424a0757
1258128a890
132cb7336a6
1419213303a
15e4371630
hex9172f86c

2440231020 has 72 divisors (see below), whose sum is σ = 7435349376. Its totient is φ = 647799552.

The previous prime is 2440230997. The next prime is 2440231043. The reversal of 2440231020 is 201320442.

2440231020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2440230997) and next prime (2440231043).

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 = 2440230984 and 2440231002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9744 + ... + 70536.

Almost surely, 22440231020 is an apocalyptic number.

2440231020 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 2440231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717674688).

2440231020 is an abundant number, since it is smaller than the sum of its proper divisors (4995118356).

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

2440231020 is a wasteful number, since it uses less digits than its factorization.

2440231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61031 (or 61026 counting only the distinct ones).

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

The square root of 2440231020 is about 49398.6945171631. The cubic root of 2440231020 is about 1346.3055863227.

Adding to 2440231020 its reverse (201320442), we get a palindrome (2641551462).

The spelling of 2440231020 in words is "two billion, four hundred forty million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 223 446 669 892 1115 1338 2007 2230 2676 3345 4014 4460 6690 8028 10035 13380 20070 40140 60793 121586 182379 243172 303965 364758 547137 607930 729516 911895 1094274 1215860 1823790 2188548 2735685 3647580 5471370 10942740 13556839 27113678 40670517 54227356 67784195 81341034 122011551 135568390 162682068 203352585 244023102 271136780 406705170 488046204 610057755 813410340 1220115510 2440231020