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2482214454 = 2321931257911
BaseRepresentation
bin1001001111110011…
…1001011000110110
320101222201120002200
42103330321120312
520040421330304
61050150245330
7115340321556
oct22374713066
96358646080
102482214454
111064166505
12593356846
13307342c65
14197941166
15e7db5e39
hex93f39636

2482214454 has 96 divisors (see below), whose sum is σ = 5872988160. Its totient is φ = 754790400.

The previous prime is 2482214443. The next prime is 2482214507. The reversal of 2482214454 is 4544122842.

It is a super-2 number, since 2×24822144542 = 12322777191293036232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2724259 + ... + 2725169.

It is an arithmetic number, because the mean of its divisors is an integer number (61176960).

Almost surely, 22482214454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2482214454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936494080).

2482214454 is an abundant number, since it is smaller than the sum of its proper divisors (3390773706).

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

2482214454 is a wasteful number, since it uses less digits than its factorization.

2482214454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1223 counting only the distinct ones).

The product of its digits is 81920, while the sum is 36.

The square root of 2482214454 is about 49821.8270841205. The cubic root of 2482214454 is about 1353.9826523410.

The spelling of 2482214454 in words is "two billion, four hundred eighty-two million, two hundred fourteen thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 257 279 342 514 558 589 771 911 1178 1542 1767 1822 2313 2733 3534 4626 4883 5301 5466 7967 8199 9766 10602 14649 15934 16398 17309 23901 28241 29298 34618 43947 47802 51927 56482 71703 84723 87894 103854 143406 151373 155781 169446 234127 254169 302746 311562 454119 468254 508338 536579 702381 908238 1073158 1362357 1404762 1609737 2107143 2724714 3219474 4214286 4448413 4829211 7257937 8896826 9658422 13345239 14515874 21773811 26690478 40035717 43547622 65321433 80071434 130642866 137900803 275801606 413702409 827404818 1241107227 2482214454