Search a number
-
+
2200785960 = 2335192101503
BaseRepresentation
bin1000001100101101…
…0101010000101000
312200101011111210010
42003023111100220
514001400122320
61002214251520
7105352241412
oct20313252050
95611144703
102200785960
11a2a31707a
12515056ba0
13290c48319
1416c4039b2
15cd324ae0
hex832d5428

2200785960 has 192 divisors, whose sum is σ = 7051121280. Its totient is φ = 549388800.

The previous prime is 2200785931. The next prime is 2200785989. The reversal of 2200785960 is 695870022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2200785931) and next prime (2200785989).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4375069 + ... + 4375571.

It is an arithmetic number, because the mean of its divisors is an integer number (36724590).

Almost surely, 22200785960 is an apocalyptic number.

2200785960 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 2200785960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525560640).

2200785960 is an abundant number, since it is smaller than the sum of its proper divisors (4850335320).

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

2200785960 is a wasteful number, since it uses less digits than its factorization.

2200785960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 2200785960 is about 46912.5352118173. The cubic root of 2200785960 is about 1300.7463091465.

The spelling of 2200785960 in words is "two billion, two hundred million, seven hundred eighty-five thousand, nine hundred sixty".