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2134404220 = 2251343318959
BaseRepresentation
bin111111100111000…
…0110110001111100
312111202020222011011
41333032012301330
513332401413340
6551443405004
7103615064554
oct17716066174
95452228134
102134404220
119a58a7533
124b6983764
132802756a0
14163684164
15c75b10ea
hex7f386c7c

2134404220 has 48 divisors (see below), whose sum is σ = 4838440320. Its totient is φ = 786226176.

The previous prime is 2134404211. The next prime is 2134404253. The reversal of 2134404220 is 224044312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2134404191 and 2134404200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103101 + ... + 122059.

It is an arithmetic number, because the mean of its divisors is an integer number (100800840).

Almost surely, 22134404220 is an apocalyptic number.

2134404220 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 2134404220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419220160).

2134404220 is an abundant number, since it is smaller than the sum of its proper divisors (2704036100).

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

2134404220 is a wasteful number, since it uses less digits than its factorization.

2134404220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19414 (or 19412 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2134404220 is about 46199.6127689400. The cubic root of 2134404220 is about 1287.5345454645.

Adding to 2134404220 its reverse (224044312), we get a palindrome (2358448532).

The spelling of 2134404220 in words is "two billion, one hundred thirty-four million, four hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 433 866 1732 2165 4330 5629 8660 11258 18959 22516 28145 37918 56290 75836 94795 112580 189590 246467 379180 492934 985868 1232335 2464670 4929340 8209247 16418494 32836988 41046235 82092470 106720211 164184940 213440422 426880844 533601055 1067202110 2134404220