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2242260150 = 2352133593203
BaseRepresentation
bin1000010110100110…
…0010110010110110
312210021012121200020
42011221202302312
514043004311100
61010255230010
7106364616414
oct20551426266
95707177606
102242260150
11a50774269
12526b18306
13299709b70
14173b1c2b4
15d1cb85a0
hex85a62cb6

2242260150 has 96 divisors (see below), whose sum is σ = 6007115520. Its totient is φ = 550231680.

The previous prime is 2242260121. The next prime is 2242260151. The reversal of 2242260150 is 510622422.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2242260150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242260151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698449 + ... + 701651.

It is an arithmetic number, because the mean of its divisors is an integer number (62574120).

Almost surely, 22242260150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242260150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003557760).

2242260150 is an abundant number, since it is smaller than the sum of its proper divisors (3764855370).

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

2242260150 is a wasteful number, since it uses less digits than its factorization.

2242260150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2242260150 is about 47352.5094371988. The cubic root of 2242260150 is about 1308.8664416575.

Adding to 2242260150 its reverse (510622422), we get a palindrome (2752882572).

The spelling of 2242260150 in words is "two billion, two hundred forty-two million, two hundred sixty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 359 390 650 718 975 1077 1795 1950 2154 3203 3590 4667 5385 6406 8975 9334 9609 10770 14001 16015 17950 19218 23335 26925 28002 32030 41639 46670 48045 53850 70005 80075 83278 96090 116675 124917 140010 160150 208195 233350 240225 249834 350025 416390 480450 624585 700050 1040975 1149877 1249170 2081950 2299754 3122925 3449631 5749385 6245850 6899262 11498770 14948401 17248155 28746925 29896802 34496310 44845203 57493850 74742005 86240775 89690406 149484010 172481550 224226015 373710025 448452030 747420050 1121130075 2242260150