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22508054450 = 252744332
BaseRepresentation
bin10100111101100101…
…011010011110110010
32011002121212122011022
4110331211122132302
5332044030220300
614201241415442
71424525210000
oct247545323662
964077778138
1022508054450
1196002344a2
124441a9a582
13217919721b
141137431a70
158bb038285
hex53d95a7b2

22508054450 has 90 divisors (see below), whose sum is σ = 48952626039. Its totient is φ = 7699224960.

The previous prime is 22508054389. The next prime is 22508054479. The reversal of 22508054450 is 5445080522.

It can be written as a sum of positive squares in 5 ways, for example, as 884646049 + 21623408401 = 29743^2 + 147049^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106085.

It is a super-2 number, since 2×225080544502 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22508054450.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 51981434 + ... + 51981866.

Almost surely, 222508054450 is an apocalyptic number.

22508054450 is an abundant number, since it is smaller than the sum of its proper divisors (26444571589).

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

22508054450 is an frugal number, since it uses more digits than its factorization.

22508054450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

The spelling of 22508054450 in words is "twenty-two billion, five hundred eight million, fifty-four thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 343 350 433 490 686 866 1225 1715 2165 2401 2450 3031 3430 4330 4802 6062 8575 10825 12005 15155 17150 21217 21650 24010 30310 42434 60025 75775 106085 120050 148519 151550 187489 212170 297038 374978 530425 742595 937445 1039633 1060850 1312423 1485190 1874890 2079266 2624846 3712975 4687225 5198165 6562115 7425950 9186961 9374450 10396330 13124230 18373922 25990825 32810575 45934805 51981650 64308727 65621150 91869610 128617454 229674025 321543635 450161089 459348050 643087270 900322178 1607718175 2250805445 3215436350 4501610890 11254027225 22508054450