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2190014112 = 2531113295501
BaseRepresentation
bin1000001010001000…
…1111011010100000
312122121220020120210
42002202033122200
513441120422422
61001151334120
7105161545536
oct20242173240
95577806523
102190014112
11a2422a020
12511521340
1328b946350
1416abdc156
15cc3e810c
hex8288f6a0

2190014112 has 192 divisors, whose sum is σ = 6987980160. Its totient is φ = 591360000.

The previous prime is 2190014111. The next prime is 2190014129. The reversal of 2190014112 is 2114100912.

It is a happy number.

It is a super-3 number, since 3×21900141123 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2190014111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395362 + ... + 400862.

It is an arithmetic number, because the mean of its divisors is an integer number (36395730).

Almost surely, 22190014112 is an apocalyptic number.

2190014112 is a gapful number since it is divisible by the number (22) 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 2190014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493990080).

2190014112 is an abundant number, since it is smaller than the sum of its proper divisors (4797966048).

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

2190014112 is a wasteful number, since it uses less digits than its factorization.

2190014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5567 (or 5559 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 2190014112 is about 46797.5866044393. The cubic root of 2190014112 is about 1298.6206497943.

The spelling of 2190014112 in words is "two billion, one hundred ninety million, fourteen thousand, one hundred twelve".