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2242460000 = 25541110193
BaseRepresentation
bin1000010110101001…
…0011100101100000
312210021120202211002
42011222103211200
514043032210000
61010303411132
7106366411154
oct20552234540
95707522732
102242460000
11a508a0430
12526bb3aa8
13299779b11
14173b71064
15d1d078d5
hex85a93960

2242460000 has 120 divisors (see below), whose sum is σ = 6018904584. Its totient is φ = 815360000.

The previous prime is 2242459981. The next prime is 2242460039. The reversal of 2242460000 is 642422.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 214904 + ... + 225096.

Almost surely, 22242460000 is an apocalyptic number.

2242460000 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 2242460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009452292).

2242460000 is an abundant number, since it is smaller than the sum of its proper divisors (3776444584).

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

2242460000 is a wasteful number, since it uses less digits than its factorization.

2242460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10234 (or 10211 counting only the distinct ones).

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

The square root of 2242460000 is about 47354.6196268115. The cubic root of 2242460000 is about 1308.9053264092.

The spelling of 2242460000 in words is "two billion, two hundred forty-two million, four hundred sixty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 10193 11000 13750 20000 20386 22000 27500 40772 44000 50965 55000 81544 101930 110000 112123 163088 203860 220000 224246 254825 326176 407720 448492 509650 560615 815440 896984 1019300 1121230 1274125 1630880 1793968 2038600 2242460 2548250 2803075 3587936 4077200 4484920 5096500 5606150 6370625 8154400 8969840 10193000 11212300 12741250 14015375 17939680 20386000 22424600 25482500 28030750 40772000 44849200 50965000 56061500 70076875 89698400 101930000 112123000 140153750 203860000 224246000 280307500 448492000 560615000 1121230000 2242460000