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2023122440 = 235179282559
BaseRepresentation
bin111100010010110…
…0110011000001000
312012222212021020202
41320211212120020
513120404404230
6532430311332
7101064154103
oct17045463010
95188767222
102023122440
11948aaa919
12485658548
132631b1a91
1415299773a
15bc92da45
hex78966608

2023122440 has 32 divisors (see below), whose sum is σ = 4577472000. Its totient is φ = 804725184.

The previous prime is 2023122433. The next prime is 2023122443. The reversal of 2023122440 is 442213202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2023122443) 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 7 ways as a sum of consecutive naturals, for example, 134120 + ... + 148439.

It is an arithmetic number, because the mean of its divisors is an integer number (143046000).

Almost surely, 22023122440 is an apocalyptic number.

2023122440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023122440 is an abundant number, since it is smaller than the sum of its proper divisors (2554349560).

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

2023122440 is a wasteful number, since it uses less digits than its factorization.

2023122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282749 (or 282745 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2023122440 is about 44979.1333842705. The cubic root of 2023122440 is about 1264.7578658246.

Adding to 2023122440 its reverse (442213202), we get a palindrome (2465335642).

The spelling of 2023122440 in words is "two billion, twenty-three million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 179 358 716 895 1432 1790 3580 7160 282559 565118 1130236 1412795 2260472 2825590 5651180 11302360 50578061 101156122 202312244 252890305 404624488 505780610 1011561220 2023122440