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2242809900 = 2232522492011
BaseRepresentation
bin1000010110101110…
…1001000000101100
312210022020112210100
42011223221000230
514043124404100
61010315111100
7106402366242
oct20553510054
95708215710
102242809900
11a5100a301
12527142490
13299870166
14173c22792
15d1d76400
hex85ae902c

2242809900 has 54 divisors (see below), whose sum is σ = 7029965852. Its totient is φ = 598082400.

The previous prime is 2242809883. The next prime is 2242809901. The reversal of 2242809900 is 99082422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2242809901) 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 17 ways as a sum of consecutive naturals, for example, 1245106 + ... + 1246905.

Almost surely, 22242809900 is an apocalyptic number.

2242809900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242809900 is an abundant number, since it is smaller than the sum of its proper divisors (4787155952).

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

2242809900 is a wasteful number, since it uses less digits than its factorization.

2242809900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492031 (or 2492021 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2242809900 is about 47358.3139480282. The cubic root of 2242809900 is about 1308.9734007792.

The spelling of 2242809900 in words is "two billion, two hundred forty-two million, eight hundred nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2492011 4984022 7476033 9968044 12460055 14952066 22428099 24920110 29904132 37380165 44856198 49840220 62300275 74760330 89712396 112140495 124600550 149520660 186900825 224280990 249201100 373801650 448561980 560702475 747603300 1121404950 2242809900