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4540220454 = 23711293171069
BaseRepresentation
bin1000011101001111…
…00100010000100110
3102201102020002121010
410032213210100212
533244244023304
62030304403050
7220340144220
oct41647442046
912642202533
104540220454
111a1a921910
12a68616486
135748197a3
14310db9410
151b88d5789
hex10e9e4426

4540220454 has 128 divisors (see below), whose sum is σ = 11759385600. Its totient is φ = 1133959680.

The previous prime is 4540220453. The next prime is 4540220479.

4540220454 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×45402204542 = 41227203541839932232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4540220453) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4246632 + ... + 4247700.

It is an arithmetic number, because the mean of its divisors is an integer number (91870200).

Almost surely, 24540220454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4540220454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879692800).

4540220454 is an abundant number, since it is smaller than the sum of its proper divisors (7219165146).

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

4540220454 is a wasteful number, since it uses less digits than its factorization.

4540220454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438.

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 4540220454 is about 67381.1580042967. The cubic root of 4540220454 is about 1655.8677467078.

It can be divided in two parts, 45402 and 20454, that added together give a palindrome (65856).

The spelling of 4540220454 in words is "four billion, five hundred forty million, two hundred twenty thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 154 174 203 231 317 319 406 462 609 634 638 951 957 1069 1218 1902 1914 2138 2219 2233 3207 3487 4438 4466 6414 6657 6699 6974 7483 9193 10461 11759 13314 13398 14966 18386 20922 22449 23518 24409 27579 31001 35277 44898 48818 55158 62002 64351 70554 73227 82313 93003 101123 128702 146454 164626 186006 193053 202246 217007 246939 303369 338873 341011 386106 434014 493878 606738 651021 677746 682022 707861 1016619 1023033 1302042 1415722 2033238 2046066 2123583 2372111 2387077 3727603 4247166 4744222 4774154 7116333 7161231 7455206 9827317 11182809 14232666 14322462 19654634 22365618 26093221 29481951 52186442 58963902 68791219 78279663 108100487 137582438 156559326 206373657 216200974 324301461 412747314 648602922 756703409 1513406818 2270110227 4540220454