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2314020420 = 22335311371009
BaseRepresentation
bin1000100111101101…
…0010011001000100
312222021020102021000
42021323102121010
514214342123140
61021341253300
7111225564135
oct21173223104
95867212230
102314020420
11a88227878
12546b64230
132ab54396a
1417d47bc8c
15d8240a30
hex89ed2644

2314020420 has 192 divisors, whose sum is σ = 7493068800. Its totient is φ = 592220160.

The previous prime is 2314020377. The next prime is 2314020437. The reversal of 2314020420 is 240204132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2314020393 and 2314020402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2292876 + ... + 2293884.

It is an arithmetic number, because the mean of its divisors is an integer number (39026400).

Almost surely, 22314020420 is an apocalyptic number.

2314020420 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 2314020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746534400).

2314020420 is an abundant number, since it is smaller than the sum of its proper divisors (5179048380).

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

2314020420 is a wasteful number, since it uses less digits than its factorization.

2314020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2314020420 is about 48104.2661309784. The cubic root of 2314020420 is about 1322.6828698802.

Adding to 2314020420 its reverse (240204132), we get a palindrome (2554224552).

The spelling of 2314020420 in words is "two billion, three hundred fourteen million, twenty thousand, four hundred twenty".