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2424130000 = 2454242413
BaseRepresentation
bin1001000001111101…
…0100100111010000
320020221102120012121
42100133110213100
514431034130000
61040313304024
7114033523255
oct22037244720
96227376177
102424130000
1110343a3826
12577a05014
132c82b6b66
1418dd4142c
15e2c40b1a
hex907d49d0

2424130000 has 50 divisors (see below), whose sum is σ = 5869085354. Its totient is φ = 969648000.

The previous prime is 2424129997. The next prime is 2424130003. The reversal of 2424130000 is 314242.

It is an interprime number because it is at equal distance from previous prime (2424129997) and next prime (2424130003).

It can be written as a sum of positive squares in 5 ways, for example, as 628404624 + 1795725376 = 25068^2 + 42376^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424130003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 111207 + ... + 131206.

Almost surely, 22424130000 is an apocalyptic number.

2424130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424130000 is an abundant number, since it is smaller than the sum of its proper divisors (3444955354).

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

2424130000 is an equidigital number, since it uses as much as digits as its factorization.

2424130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242441 (or 242420 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2424130000 is about 49235.4547049177. The cubic root of 2424130000 is about 1343.3380060193.

Adding to 2424130000 its reverse (314242), we get a palindrome (2424444242).

The spelling of 2424130000 in words is "two billion, four hundred twenty-four million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 242413 484826 969652 1212065 1939304 2424130 3878608 4848260 6060325 9696520 12120650 19393040 24241300 30301625 48482600 60603250 96965200 121206500 151508125 242413000 303016250 484826000 606032500 1212065000 2424130000