Search a number
-
+
2190281280 = 263511211983
BaseRepresentation
bin1000001010001101…
…0000101001000000
312122122101211001220
42002203100221000
513441203000110
61001201155040
7105164040465
oct20243205100
95578354056
102190281280
11a243a1820
1251162ba80
1328ba0ab35
1416ac6b66c
15cc44c370
hex828d0a40

2190281280 has 224 divisors, whose sum is σ = 7630046208. Its totient is φ = 527923200.

The previous prime is 2190281279. The next prime is 2190281293. The reversal of 2190281280 is 821820912.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2227669 + ... + 2228651.

Almost surely, 22190281280 is an apocalyptic number.

2190281280 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 2190281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815023104).

2190281280 is an abundant number, since it is smaller than the sum of its proper divisors (5439764928).

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

2190281280 is a wasteful number, since it uses less digits than its factorization.

2190281280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 2190281280 is about 46800.4410235630. The cubic root of 2190281280 is about 1298.6734555079.

The spelling of 2190281280 in words is "two billion, one hundred ninety million, two hundred eighty-one thousand, two hundred eighty".