Search a number
-
+
226498100544 = 26321877209497
BaseRepresentation
bin1101001011110001010…
…1101011110101000000
3210122122001010122220200
43102330111223311000
512202332003204134
6252015104205200
722235556042312
oct3227425536500
9718561118820
10226498100544
118806a300351
1237a91909800
1318488031201
14ad693d57b2
155d59918499
hex34bc56bd40

226498100544 has 84 divisors (see below), whose sum is σ = 649564889844. Its totient is φ = 75458783232.

The previous prime is 226498100473. The next prime is 226498100567. The reversal of 226498100544 is 445001894622.

It is a happy number.

226498100544 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 98 + 10 + 0 + 544 = 666.

226498100544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 79686514944 + 146811585600 = 282288^2 + 383160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 226498100544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 976404 + ... + 1185900.

Almost surely, 2226498100544 is an apocalyptic number.

226498100544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226498100544 is an abundant number, since it is smaller than the sum of its proper divisors (423066789300).

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

226498100544 is a wasteful number, since it uses less digits than its factorization.

226498100544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211392 (or 211379 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 226498100544 in words is "two hundred twenty-six billion, four hundred ninety-eight million, one hundred thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1877 3754 5631 7508 11262 15016 16893 22524 30032 33786 45048 60064 67572 90096 120128 135144 180192 209497 270288 360384 418994 540576 628491 837988 1081152 1256982 1675976 1885473 2513964 3351952 3770946 5027928 6703904 7541892 10055856 13407808 15083784 20111712 30167568 40223424 60335136 120670272 393225869 786451738 1179677607 1572903476 2359355214 3145806952 3539032821 4718710428 6291613904 7078065642 9437420856 12583227808 14156131284 18874841712 25166455616 28312262568 37749683424 56624525136 75499366848 113249050272 226498100544