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2234364000 = 253531116927
BaseRepresentation
bin1000010100101101…
…1011000001100000
312202201100110012020
42011023123001200
514033444122000
61005414101440
7106240531521
oct20513330140
95681313166
102234364000
11a47270820
1252434a880
13297ba3a9b
14172a64848
15d1258ba0
hex852db060

2234364000 has 192 divisors, whose sum is σ = 7985682432. Its totient is φ = 541632000.

The previous prime is 2234363993. The next prime is 2234364007. The reversal of 2234364000 is 4634322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2234363993) and next prime (2234364007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234364007) 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, 123537 + ... + 140463.

It is an arithmetic number, because the mean of its divisors is an integer number (41592096).

Almost surely, 22234364000 is an apocalyptic number.

2234364000 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 2234364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992841216).

2234364000 is an abundant number, since it is smaller than the sum of its proper divisors (5751318432).

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

2234364000 is a wasteful number, since it uses less digits than its factorization.

2234364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16966 (or 16948 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2234364000 is about 47269.0596479346. The cubic root of 2234364000 is about 1307.3282375728.

Adding to 2234364000 its reverse (4634322), we get a palindrome (2238998322).

The spelling of 2234364000 in words is "two billion, two hundred thirty-four million, three hundred sixty-four thousand".