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2423211024 = 2431310736293
BaseRepresentation
bin1001000001101111…
…0100010000010000
320020212200212121110
42100123310100100
514430320223044
61040241453320
7114022645113
oct22033642020
96225625543
102423211024
111033926343
12577641240
132c80547a0
1418db8257a
15e2b0d6b9
hex906f4410

2423211024 has 80 divisors (see below), whose sum is σ = 6804689472. Its totient is φ = 738614784.

The previous prime is 2423211019. The next prime is 2423211053. The reversal of 2423211024 is 4201123242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48622 + ... + 84914.

Almost surely, 22423211024 is an apocalyptic number.

2423211024 is a gapful number since it is divisible by the number (24) 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 2423211024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402344736).

2423211024 is an abundant number, since it is smaller than the sum of its proper divisors (4381478448).

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

2423211024 is a wasteful number, since it uses less digits than its factorization.

2423211024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36424 (or 36418 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2423211024 is about 49226.1213584820. The cubic root of 2423211024 is about 1343.1682335762.

Adding to 2423211024 its reverse (4201123242), we get a palindrome (6624334266).

The spelling of 2423211024 in words is "two billion, four hundred twenty-three million, two hundred eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 107 156 208 214 312 321 428 624 642 856 1284 1391 1712 2568 2782 4173 5136 5564 8346 11128 16692 22256 33384 36293 66768 72586 108879 145172 217758 290344 435516 471809 580688 871032 943618 1415427 1742064 1887236 2830854 3774472 3883351 5661708 7548944 7766702 11323416 11650053 15533404 22646832 23300106 31066808 46600212 50483563 62133616 93200424 100967126 151450689 186400848 201934252 302901378 403868504 605802756 807737008 1211605512 2423211024