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2022642240 = 26352106919
BaseRepresentation
bin111100010001111…
…0001001001000000
312012221221212112120
41320203301021000
513120244022430
6532412124240
7101060114103
oct17043611100
95187855476
102022642240
11948802063
12485466680
13263074338
141528b073a
15bc886610
hex788f1240

2022642240 has 56 divisors (see below), whose sum is σ = 6421892160. Its totient is φ = 539371008.

The previous prime is 2022642221. The next prime is 2022642247. The reversal of 2022642240 is 422462202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2022642240.

It is not an unprimeable number, because it can be changed into a prime (2022642247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1052500 + ... + 1054419.

Almost surely, 22022642240 is an apocalyptic number.

2022642240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022642240 is an abundant number, since it is smaller than the sum of its proper divisors (4399249920).

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

2022642240 is a wasteful number, since it uses less digits than its factorization.

2022642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106939 (or 2106929 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2022642240 is about 44973.7950366655. The cubic root of 2022642240 is about 1264.6577920025.

The spelling of 2022642240 in words is "two billion, twenty-two million, six hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2106919 4213838 6320757 8427676 10534595 12641514 16855352 21069190 25283028 31603785 33710704 42138380 50566056 63207570 67421408 84276760 101132112 126415140 134842816 168553520 202264224 252830280 337107040 404528448 505660560 674214080 1011321120 2022642240