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2190891808 = 25728134807
BaseRepresentation
bin1000001010010110…
…0101101100100000
312122200112211120001
42002211211230200
513441332014213
61001222225344
7105202162450
oct20245455440
95580484501
102190891808
11a24779496
12511885254
1328bb929b1
1416ad89d60
15cc51d1dd
hex82965b20

2190891808 has 48 divisors (see below), whose sum is σ = 4947191424. Its totient is φ = 935585280.

The previous prime is 2190891763. The next prime is 2190891809. The reversal of 2190891808 is 8081980912.

It is not an unprimeable number, because it can be changed into a prime (2190891809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45541 + ... + 80347.

It is an arithmetic number, because the mean of its divisors is an integer number (103066488).

Almost surely, 22190891808 is an apocalyptic number.

2190891808 is a gapful number since it is divisible by the number (28) 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 2190891808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473595712).

2190891808 is an abundant number, since it is smaller than the sum of its proper divisors (2756299616).

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

2190891808 is a wasteful number, since it uses less digits than its factorization.

2190891808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35105 (or 35097 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 46.

The square root of 2190891808 is about 46806.9632426629. The cubic root of 2190891808 is about 1298.7941101557.

The spelling of 2190891808 in words is "two billion, one hundred ninety million, eight hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 281 562 1124 1967 2248 3934 4496 7868 8992 15736 31472 34807 62944 69614 139228 243649 278456 487298 556912 974596 1113824 1949192 3898384 7796768 9780767 19561534 39123068 68465369 78246136 136930738 156492272 273861476 312984544 547722952 1095445904 2190891808