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2190589704 = 233329231389
BaseRepresentation
bin1000001010010001…
…1011111100001000
312122122222111011000
42002210123330020
513441242332304
61001211535000
7105166463622
oct20244337410
95578874130
102190589704
11a24592516
1251175a460
1328bab8334
1416ad0bc12
15cc4ad939
hex8291bf08

2190589704 has 192 divisors, whose sum is σ = 6522048000. Its totient is φ = 680520960.

The previous prime is 2190589651. The next prime is 2190589717. The reversal of 2190589704 is 4079850912.

It is a self number, because there is not a number n which added to its sum of digits gives 2190589704.

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 47 ways as a sum of consecutive naturals, for example, 5631142 + ... + 5631530.

It is an arithmetic number, because the mean of its divisors is an integer number (33969000).

Almost surely, 22190589704 is an apocalyptic number.

2190589704 is a gapful number since it is divisible by the number (24) 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 2190589704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261024000).

2190589704 is an abundant number, since it is smaller than the sum of its proper divisors (4331458296).

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

2190589704 is a wasteful number, since it uses less digits than its factorization.

2190589704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2190589704 is about 46803.7360047251. The cubic root of 2190589704 is about 1298.7344101239.

The spelling of 2190589704 in words is "two billion, one hundred ninety million, five hundred eighty-nine thousand, seven hundred four".