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2234001000 = 2335371119509
BaseRepresentation
bin1000010100101000…
…0010011001101000
312202200200000020210
42011022002121220
514033401013000
61005402221120
7106234460310
oct20512023150
95680600223
102234001000
11a47043020
125241b47a0
13297aa77aa
141729ac440
15d11d6350
hex85282668

2234001000 has 512 divisors, whose sum is σ = 9165312000. Its totient is φ = 438912000.

The previous prime is 2234000963. The next prime is 2234001037. The reversal of 2234001000 is 1004322.

It is an interprime number because it is at equal distance from previous prime (2234000963) and next prime (2234001037).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4388746 + ... + 4389254.

It is an arithmetic number, because the mean of its divisors is an integer number (17901000).

Almost surely, 22234001000 is an apocalyptic number.

2234001000 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 2234001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582656000).

2234001000 is an abundant number, since it is smaller than the sum of its proper divisors (6931311000).

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

2234001000 is a wasteful number, since it uses less digits than its factorization.

2234001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2234001000 is about 47265.2197709902. The cubic root of 2234001000 is about 1307.2574365377.

Adding to 2234001000 its reverse (1004322), we get a palindrome (2235005322).

The spelling of 2234001000 in words is "two billion, two hundred thirty-four million, one thousand".