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22454144650 = 2527229316033
BaseRepresentation
bin10100111010010111…
…110000111010001010
32010221212102201211001
4110322113300322022
5331441230112100
614152034125214
71423302036400
oct247227607212
963855381731
1022454144650
119582863243
124427a2080a
13216ac70332
1411301db470
158b6439d6a
hex53a5f0e8a

22454144650 has 72 divisors (see below), whose sum is σ = 50258887020. Its totient is φ = 7433072640.

The previous prime is 22454144639. The next prime is 22454144659. The reversal of 22454144650 is 5644145422.

It can be written as a sum of positive squares in 6 ways, for example, as 9273497401 + 13180647249 = 96299^2 + 114807^2 .

It is a super-2 number, since 2×224541446502 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22454144659) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86967 + ... + 229066.

Almost surely, 222454144650 is an apocalyptic number.

22454144650 is an abundant number, since it is smaller than the sum of its proper divisors (27804742370).

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

22454144650 is a wasteful number, since it uses less digits than its factorization.

22454144650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316088 (or 316076 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

The spelling of 22454144650 in words is "twenty-two billion, four hundred fifty-four million, one hundred forty-four thousand, six hundred fifty".

Divisors: 1 2 5 7 10 14 25 29 35 49 50 58 70 98 145 175 203 245 290 350 406 490 725 1015 1225 1421 1450 2030 2450 2842 5075 7105 10150 14210 35525 71050 316033 632066 1580165 2212231 3160330 4424462 7900825 9164957 11061155 15485617 15801650 18329914 22122310 30971234 45824785 55305775 64154699 77428085 91649570 110611550 128309398 154856170 229123925 320773495 387140425 449082893 458247850 641546990 774280850 898165786 1603867475 2245414465 3207734950 4490828930 11227072325 22454144650