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2040022240 = 255411013079
BaseRepresentation
bin111100110011000…
…0100010011100000
312021011122212102021
41321212010103200
513134221202430
6534232431224
7101360621464
oct17146042340
95234585367
102040022240
119575a29a3
1248b248514
1326684b069
14154d164a4
15be16b07a
hex799844e0

2040022240 has 96 divisors (see below), whose sum is σ = 4987604160. Its totient is φ = 787968000.

The previous prime is 2040022217. The next prime is 2040022249. The reversal of 2040022240 is 422200402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040022249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 661021 + ... + 664099.

It is an arithmetic number, because the mean of its divisors is an integer number (51954210).

Almost surely, 22040022240 is an apocalyptic number.

2040022240 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 2040022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493802080).

2040022240 is an abundant number, since it is smaller than the sum of its proper divisors (2947581920).

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

2040022240 is a wasteful number, since it uses less digits than its factorization.

2040022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2040022240 is about 45166.6053628120. The cubic root of 2040022240 is about 1268.2697499192.

Adding to 2040022240 its reverse (422200402), we get a palindrome (2462222642).

The spelling of 2040022240 in words is "two billion, forty million, twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 101 160 164 202 205 328 404 410 505 656 808 820 1010 1312 1616 1640 2020 3079 3232 3280 4040 4141 6158 6560 8080 8282 12316 15395 16160 16564 20705 24632 30790 33128 41410 49264 61580 66256 82820 98528 123160 126239 132512 165640 246320 252478 310979 331280 492640 504956 621958 631195 662560 1009912 1243916 1262390 1554895 2019824 2487832 2524780 3109790 4039648 4975664 5049560 6219580 9951328 10099120 12439160 12750139 20198240 24878320 25500278 49756640 51000556 63750695 102001112 127501390 204002224 255002780 408004448 510005560 1020011120 2040022240