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2234234130000 = 24354191011972
BaseRepresentation
bin100000100000110010101…
…110110100111001010000
321220120221121200112021020
4200200302232310321100
5243101202414130000
64430220515155440
7320263255521165
oct40406256647120
97816847615236
102234234130000
11791595a13604
123010145a5b80
131328c22140b2
147a1cd47806c
153d1b6b4cba0
hex20832bb4e50

2234234130000 has 600 divisors, whose sum is σ = 7706291572320. Its totient is φ = 556012800000.

The previous prime is 2234234129947. The next prime is 2234234130013. The reversal of 2234234130000 is 314324322.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11341289902 + ... + 11341290098.

Almost surely, 22234234130000 is an apocalyptic number.

2234234130000 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 2234234130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853145786160).

2234234130000 is an abundant number, since it is smaller than the sum of its proper divisors (5472057442320).

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

2234234130000 is a wasteful number, since it uses less digits than its factorization.

2234234130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 327 counting only the distinct ones).

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

Adding to 2234234130000 its reverse (314324322), we get a palindrome (2234548454322).

The spelling of 2234234130000 in words is "two trillion, two hundred thirty-four billion, two hundred thirty-four million, one hundred thirty thousand".