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22241124010 = 257264217069
BaseRepresentation
bin10100101101101011…
…001001111010101010
32010102000121011102201
4110231223021322222
5331022211432020
614114544250414
71415104302100
oct245553117252
963360534381
1022241124010
119483597726
124388610a0a
132135aa7611
14110dbc9c70
158a28aca0a
hex52dac9eaa

22241124010 has 48 divisors (see below), whose sum is σ = 46584032040. Its totient is φ = 7623262080.

The previous prime is 22241123969. The next prime is 22241124013. The reversal of 22241124010 is 1042114222.

It can be written as a sum of positive squares in 4 ways, for example, as 13976677729 + 8264446281 = 118223^2 + 90909^2 .

It is not an unprimeable number, because it can be changed into a prime (22241124013) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3142756 + ... + 3149824.

Almost surely, 222241124010 is an apocalyptic number.

22241124010 is an abundant number, since it is smaller than the sum of its proper divisors (24342908030).

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

22241124010 is a wasteful number, since it uses less digits than its factorization.

22241124010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13511 (or 13504 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22241124010 its reverse (1042114222), we get a palindrome (23283238232).

The spelling of 22241124010 in words is "twenty-two billion, two hundred forty-one million, one hundred twenty-four thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 6421 7069 12842 14138 32105 35345 44947 49483 64210 70690 89894 98966 224735 247415 314629 346381 449470 494830 629258 692762 1573145 1731905 3146290 3463810 45390049 90780098 226950245 317730343 453900490 635460686 1588651715 2224112401 3177303430 4448224802 11120562005 22241124010