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2234214140340 = 22357134353409439
BaseRepresentation
bin100000100000110001100…
…010100100100110110100
321220120220020001221121110
4200200301202210212310
5243101132304442330
64430214522515020
7320262623564250
oct40406142444664
97816806057543
102234214140340
11791585700026
12301009965a70
131328bb0355b0
147a1ca953260
153d1b4eeedb0
hex208318a49b4

2234214140340 has 768 divisors, whose sum is σ = 8065109606400. Its totient is φ = 449613545472.

The previous prime is 2234214140201. The next prime is 2234214140377. The reversal of 2234214140340 is 430414124322.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2234214140298 and 2234214140307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5089325841 + ... + 5089326279.

It is an arithmetic number, because the mean of its divisors is an integer number (10501444800).

Almost surely, 22234214140340 is an apocalyptic number.

2234214140340 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 2234214140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032554803200).

2234214140340 is an abundant number, since it is smaller than the sum of its proper divisors (5830895466060).

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

2234214140340 is a wasteful number, since it uses less digits than its factorization.

2234214140340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2234214140340 its reverse (430414124322), we get a palindrome (2664628264662).

The spelling of 2234214140340 in words is "two trillion, two hundred thirty-four billion, two hundred fourteen million, one hundred forty thousand, three hundred forty".