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2242300160 = 2851998803
BaseRepresentation
bin1000010110100110…
…1100100100000000
312210021021122120002
42011221230210000
514043012101120
61010300135132
7106365144152
oct20551544400
95707248502
102242300160
11a507a1331
12526b374a8
13299722139
14173b2cad2
15d1cc5375
hex85a6c900

2242300160 has 72 divisors (see below), whose sum is σ = 5398612800. Its totient is φ = 892311552.

The previous prime is 2242300157. The next prime is 2242300169. The reversal of 2242300160 is 610032422.

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 (2242300169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250319 + ... + 259121.

Almost surely, 22242300160 is an apocalyptic number.

2242300160 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 2242300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699306400).

2242300160 is an abundant number, since it is smaller than the sum of its proper divisors (3156312640).

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

2242300160 is an equidigital number, since it uses as much as digits as its factorization.

2242300160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9023 (or 9009 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2242300160 is about 47352.9319050046. The cubic root of 2242300160 is about 1308.8742265756.

Adding to 2242300160 its reverse (610032422), we get a palindrome (2852332582).

The spelling of 2242300160 in words is "two billion, two hundred forty-two million, three hundred thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 199 256 320 398 640 796 995 1280 1592 1990 3184 3980 6368 7960 8803 12736 15920 17606 25472 31840 35212 44015 50944 63680 70424 88030 127360 140848 176060 254720 281696 352120 563392 704240 1126784 1408480 1751797 2253568 2816960 3503594 5633920 7007188 8758985 11267840 14014376 17517970 28028752 35035940 56057504 70071880 112115008 140143760 224230016 280287520 448460032 560575040 1121150080 2242300160