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2220140132430 = 2351159271163167
BaseRepresentation
bin100000010011101010101…
…010011111100001001110
321212020120101100021021020
4200103222222133201032
5242333321333214210
64415530204015010
7316254066520233
oct40235252374116
97766511307236
102220140132430
11786613253630
122ba340531466
131314872b386c
14796536d378a
153cb3e64d770
hex204eaa9f84e

2220140132430 has 384 divisors, whose sum is σ = 6069114003456. Its totient is φ = 515336774400.

The previous prime is 2220140132393. The next prime is 2220140132449. The reversal of 2220140132430 is 342310410222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2220140132430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13294252207 + ... + 13294252373.

It is an arithmetic number, because the mean of its divisors is an integer number (15804984384).

Almost surely, 22220140132430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220140132430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034557001728).

2220140132430 is an abundant number, since it is smaller than the sum of its proper divisors (3848973871026).

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

2220140132430 is a wasteful number, since it uses less digits than its factorization.

2220140132430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2220140132430 its reverse (342310410222), we get a palindrome (2562450542652).

The spelling of 2220140132430 in words is "two trillion, two hundred twenty billion, one hundred forty million, one hundred thirty-two thousand, four hundred thirty".