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2490103224 = 2332712738903
BaseRepresentation
bin1001010001101011…
…1111010110111000
320102112120100110100
42110122333112320
520044431300344
61051031315400
7115464346110
oct22432772670
96375510410
102490103224
111068664454
12595b1bb60
13308b7587b
141989d6040
15e8923569
hex946bf5b8

2490103224 has 96 divisors (see below), whose sum is σ = 7768350720. Its totient is φ = 705837888.

The previous prime is 2490103223. The next prime is 2490103229. The reversal of 2490103224 is 4223010942.

It is a super-2 number, since 2×24901032242 = 12401228132350388352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2490103223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44557 + ... + 83459.

It is an arithmetic number, because the mean of its divisors is an integer number (80920320).

Almost surely, 22490103224 is an apocalyptic number.

2490103224 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 2490103224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884175360).

2490103224 is an abundant number, since it is smaller than the sum of its proper divisors (5278247496).

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

2490103224 is a wasteful number, since it uses less digits than its factorization.

2490103224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39049 (or 39042 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2490103224 is about 49900.9340994735. The cubic root of 2490103224 is about 1355.4155076174.

The spelling of 2490103224 in words is "two billion, four hundred ninety million, one hundred three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 127 168 252 254 381 504 508 762 889 1016 1143 1524 1778 2286 2667 3048 3556 4572 5334 7112 8001 9144 10668 16002 21336 32004 38903 64008 77806 116709 155612 233418 272321 311224 350127 466836 544642 700254 816963 933672 1089284 1400508 1633926 2178568 2450889 2801016 3267852 4901778 4940681 6535704 9803556 9881362 14822043 19607112 19762724 29644086 34584767 39525448 44466129 59288172 69169534 88932258 103754301 118576344 138339068 177864516 207508602 276678136 311262903 355729032 415017204 622525806 830034408 1245051612 2490103224