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2424122424 = 233311222789
BaseRepresentation
bin1001000001111101…
…0010110000111000
320020221102011211000
42100133102300320
514431033404144
61040313205000
7114033462213
oct22037226070
96227364730
102424122424
111034399069
12577a00760
132c82b3589
1418dd3c77a
15e2c3d769
hex907d2c38

2424122424 has 32 divisors (see below), whose sum is σ = 6733674000. Its totient is φ = 808040736.

The previous prime is 2424122423. The next prime is 2424122479. The reversal of 2424122424 is 4242214242.

2424122424 is a `hidden beast` number, since 2 + 4 + 2 + 412 + 242 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424122423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5611179 + ... + 5611610.

Almost surely, 22424122424 is an apocalyptic number.

2424122424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2424122424 is an abundant number, since it is smaller than the sum of its proper divisors (4309551576).

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

2424122424 is a wasteful number, since it uses less digits than its factorization.

2424122424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11222804 (or 11222794 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 2424122424 is about 49235.3777684299. The cubic root of 2424122424 is about 1343.3366065977.

Adding to 2424122424 its reverse (4242214242), we get a palindrome (6666336666).

It can be divided in two parts, 24241 and 22424, that added together give a triangular number (46665 = T305).

The spelling of 2424122424 in words is "two billion, four hundred twenty-four million, one hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 11222789 22445578 33668367 44891156 67336734 89782312 101005101 134673468 202010202 269346936 303015303 404020404 606030606 808040808 1212061212 2424122424