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2234410420 = 2251115167261
BaseRepresentation
bin1000010100101110…
…0110010110110100
312202201102210212111
42011023212112310
514034002113140
61005415100404
7106241114044
oct20513462664
95681383774
102234410420
11a472a2690
12524371704
13297bbbc58
14172a77724
15d12677ea
hex852e65b4

2234410420 has 48 divisors (see below), whose sum is σ = 5152807296. Its totient is φ = 807120000.

The previous prime is 2234410379. The next prime is 2234410439. The reversal of 2234410420 is 240144322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2234410391 and 2234410400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411 + ... + 66850.

It is an arithmetic number, because the mean of its divisors is an integer number (107350152).

Almost surely, 22234410420 is an apocalyptic number.

2234410420 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 2234410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576403648).

2234410420 is an abundant number, since it is smaller than the sum of its proper divisors (2918396876).

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

2234410420 is a wasteful number, since it uses less digits than its factorization.

2234410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67432 (or 67430 counting only the distinct ones).

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

The square root of 2234410420 is about 47269.5506642490. The cubic root of 2234410420 is about 1307.3372909703.

Adding to 2234410420 its reverse (240144322), we get a palindrome (2474554742).

The spelling of 2234410420 in words is "two billion, two hundred thirty-four million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 1510 1661 3020 3322 6644 8305 16610 33220 67261 134522 269044 336305 672610 739871 1345220 1479742 2959484 3699355 7398710 10156411 14797420 20312822 40625644 50782055 101564110 111720521 203128220 223441042 446882084 558602605 1117205210 2234410420