Search a number
-
+
224494429880 = 23575315127657
BaseRepresentation
bin1101000100010011101…
…0010010011010111000
3210110110101212122111002
43101010322102122320
512134231033224010
6251044210424132
722135116112010
oct3210472223270
9713411778432
10224494429880
1187231286986
1237612892048
1318228ba0176
14ac19262c40
155c8da7d1a5
hex3444e926b8

224494429880 has 64 divisors (see below), whose sum is σ = 588163343040. Its totient is φ = 75517258752.

The previous prime is 224494429843. The next prime is 224494429919. The reversal of 224494429880 is 88924494422.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7548989 + ... + 7578668.

It is an arithmetic number, because the mean of its divisors is an integer number (9190052235).

Almost surely, 2224494429880 is an apocalyptic number.

224494429880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224494429880 is an abundant number, since it is smaller than the sum of its proper divisors (363668913160).

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

224494429880 is a wasteful number, since it uses less digits than its factorization.

224494429880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15127728 (or 15127724 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 56.

The spelling of 224494429880 in words is "two hundred twenty-four billion, four hundred ninety-four million, four hundred twenty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 7420 14840 15127657 30255314 60510628 75638285 105893599 121021256 151276570 211787198 302553140 423574396 529467995 605106280 801765821 847148792 1058935990 1603531642 2117871980 3207063284 4008829105 4235743960 5612360747 6414126568 8017658210 11224721494 16035316420 22449442988 28061803735 32070632840 44898885976 56123607470 112247214940 224494429880