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2123880192 = 283271929239
BaseRepresentation
bin111111010010111…
…1101011100000000
312111000110021220100
41332211331130000
513322203131232
6550430042400
7103426453350
oct17645753400
95430407810
102123880192
1199a969695
124b3349400
1327b02c455
14162104b60
15c66d2c7c
hex7e97d700

2123880192 has 432 divisors, whose sum is σ = 7652736000. Its totient is φ = 552738816.

The previous prime is 2123880181. The next prime is 2123880197. The reversal of 2123880192 is 2910883212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123880197) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8886409 + ... + 8886647.

Almost surely, 22123880192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123880192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826368000).

2123880192 is an abundant number, since it is smaller than the sum of its proper divisors (5528855808).

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

2123880192 is a wasteful number, since it uses less digits than its factorization.

2123880192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2123880192 is about 46085.5746627944. The cubic root of 2123880192 is about 1285.4149249277.

The spelling of 2123880192 in words is "two billion, one hundred twenty-three million, eight hundred eighty thousand, one hundred ninety-two".