Search a number
-
+
2313210420 = 223354283723
BaseRepresentation
bin1000100111100000…
…1100101000110100
312222012201021011000
42021320030220310
514214140213140
61021312043300
7111215651463
oct21170145064
95865637130
102313210420
11a87824254
12546833530
132ab31c081
1417d30a9da
15d8130a30
hex89e0ca34

2313210420 has 48 divisors (see below), whose sum is σ = 7196656320. Its totient is φ = 616855968.

The previous prime is 2313210407. The next prime is 2313210439. The reversal of 2313210420 is 240123132.

2313210420 is a `hidden beast` number, since 2 + 31 + 3 + 210 + 420 = 666.

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 = 2313210393 and 2313210402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2141322 + ... + 2142401.

It is an arithmetic number, because the mean of its divisors is an integer number (149930340).

Almost surely, 22313210420 is an apocalyptic number.

2313210420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2313210420 is an abundant number, since it is smaller than the sum of its proper divisors (4883445900).

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

2313210420 is a wasteful number, since it uses less digits than its factorization.

2313210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283741 (or 4283733 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2313210420 is about 48095.8461823888. The cubic root of 2313210420 is about 1322.5285211764.

Adding to 2313210420 its reverse (240123132), we get a palindrome (2553333552).

The spelling of 2313210420 in words is "two billion, three hundred thirteen million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4283723 8567446 12851169 17134892 21418615 25702338 38553507 42837230 51404676 64255845 77107014 85674460 115660521 128511690 154214028 192767535 231321042 257023380 385535070 462642084 578302605 771070140 1156605210 2313210420