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2214649944 = 2333132353647
BaseRepresentation
bin1000010000000000…
…1110000001011000
312201100020212121000
42010000032001120
514013422244234
61003431345000
7105611133243
oct20400160130
95640225530
102214649944
11a37126311
12519822160
13293a90870
141701b225a
15ce662899
hex8400e058

2214649944 has 256 divisors, whose sum is σ = 7054387200. Its totient is φ = 638516736.

The previous prime is 2214649847. The next prime is 2214649949. The reversal of 2214649944 is 4499464122.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2214649944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214649949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3422629 + ... + 3423275.

It is an arithmetic number, because the mean of its divisors is an integer number (27556200).

Almost surely, 22214649944 is an apocalyptic number.

2214649944 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 2214649944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527193600).

2214649944 is an abundant number, since it is smaller than the sum of its proper divisors (4839737256).

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

2214649944 is a wasteful number, since it uses less digits than its factorization.

2214649944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 741 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2214649944 is about 47060.0674032666. The cubic root of 2214649944 is about 1303.4719702750.

The spelling of 2214649944 in words is "two billion, two hundred fourteen million, six hundred forty-nine thousand, nine hundred forty-four".