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2250241620 = 22351110133757
BaseRepresentation
bin1000011000011111…
…1111011001010100
312210211020010012020
42012013333121110
514102030212440
61011142253140
7106522511124
oct20607773124
95724203166
102250241620
11a55225920
125297271b0
1329b272a23
14174bd8c84
15d28433d0
hex861ff654

2250241620 has 96 divisors (see below), whose sum is σ = 6941725056. Its totient is φ = 540096000.

The previous prime is 2250241561. The next prime is 2250241727. The reversal of 2250241620 is 261420522.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49782 + ... + 83538.

It is an arithmetic number, because the mean of its divisors is an integer number (72309636).

Almost surely, 22250241620 is an apocalyptic number.

2250241620 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 2250241620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470862528).

2250241620 is an abundant number, since it is smaller than the sum of its proper divisors (4691483436).

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

2250241620 is a wasteful number, since it uses less digits than its factorization.

2250241620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33881 (or 33879 counting only the distinct ones).

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

The square root of 2250241620 is about 47436.7117325811. The cubic root of 2250241620 is about 1310.4176008726.

The spelling of 2250241620 in words is "two billion, two hundred fifty million, two hundred forty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 33757 66660 67514 101271 135028 168785 202542 337570 371327 405084 506355 675140 742654 1012710 1113981 1485308 1856635 2025420 2227962 3409457 3713270 4455924 5569905 6818914 7426540 10228371 11139810 13637828 17047285 20456742 22279620 34094570 37504027 40913484 51141855 68189140 75008054 102283710 112512081 150016108 187520135 204567420 225024162 375040270 450048324 562560405 750080540 1125120810 2250241620