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2214135000 = 23345471171
BaseRepresentation
bin1000001111111001…
…0000010011011000
312201022021201020000
42003332100103120
514013304310000
61003412333000
7105603560040
oct20376202330
95638251200
102214135000
11a36904440
12519614160
1329394036c
141700ba720
15ce5b0000
hex83f904d8

2214135000 has 800 divisors, whose sum is σ = 9797863680. Its totient is φ = 453600000.

The previous prime is 2214134983. The next prime is 2214135023. The reversal of 2214135000 is 5314122.

2214135000 is a `hidden beast` number, since 22 + 141 + 3 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 31184965 + ... + 31185035.

Almost surely, 22214135000 is an apocalyptic number.

2214135000 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 2214135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898931840).

2214135000 is an abundant number, since it is smaller than the sum of its proper divisors (7583728680).

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

2214135000 is a wasteful number, since it uses less digits than its factorization.

2214135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2214135000 is about 47054.5959498113. The cubic root of 2214135000 is about 1303.3709359329.

Adding to 2214135000 its reverse (5314122), we get a palindrome (2219449122).

The spelling of 2214135000 in words is "two billion, two hundred fourteen million, one hundred thirty-five thousand".