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2424554140 = 2254315717957
BaseRepresentation
bin1001000010000011…
…1100001010011100
320020222020010000111
42100200330022130
514431141213030
61040330335404
7114040240651
oct22040741234
96228203014
102424554140
111034663458
12577b8a564
132c8404c28
14190011c28
15e2cc662a
hex9083c29c

2424554140 has 48 divisors (see below), whose sum is σ = 5243448672. Its totient is φ = 941181696.

The previous prime is 2424554137. The next prime is 2424554141. The reversal of 2424554140 is 414554242.

It is a super-2 number, since 2×24245541402 = 11756925555582279200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424554141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126042 + ... + 143998.

It is an arithmetic number, because the mean of its divisors is an integer number (109238514).

Almost surely, 22424554140 is an apocalyptic number.

2424554140 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 2424554140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621724336).

2424554140 is an abundant number, since it is smaller than the sum of its proper divisors (2818894532).

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

2424554140 is a wasteful number, since it uses less digits than its factorization.

2424554140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18166 (or 18164 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

The square root of 2424554140 is about 49239.7617784652. The cubic root of 2424554140 is about 1343.4163475487.

The spelling of 2424554140 in words is "two billion, four hundred twenty-four million, five hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 157 172 215 314 430 628 785 860 1570 3140 6751 13502 17957 27004 33755 35914 67510 71828 89785 135020 179570 359140 772151 1544302 2819249 3088604 3860755 5638498 7721510 11276996 14096245 15443020 28192490 56384980 121227707 242455414 484910828 606138535 1212277070 2424554140