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10222142544 = 243325499283
BaseRepresentation
bin10011000010100100…
…11000010001010000
3222101101202122102000
421201102120101100
5131413332030134
64410155554000
7511212530565
oct114122302120
928341678360
1010222142544
114376150a99
121b9345b900
13c6ba28173
146cd86a86c
153ec63ce99
hex261498450

10222142544 has 80 divisors (see below), whose sum is σ = 29356008000. Its totient is φ = 3405677184.

The previous prime is 10222142473. The next prime is 10222142573. The reversal of 10222142544 is 44524122201.

It is a happy number.

10222142544 is a `hidden beast` number, since 10 + 2 + 221 + 425 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1096527 + ... + 1105809.

It is an arithmetic number, because the mean of its divisors is an integer number (366950100).

Almost surely, 210222142544 is an apocalyptic number.

It is an amenable number.

10222142544 is an abundant number, since it is smaller than the sum of its proper divisors (19133865456).

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

10222142544 is a wasteful number, since it uses less digits than its factorization.

10222142544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11849 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 10222142544 its reverse (44524122201), we get a palindrome (54746264745).

The spelling of 10222142544 in words is "ten billion, two hundred twenty-two million, one hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2549 5098 7647 9283 10196 15294 18566 20392 22941 27849 30588 37132 40784 45882 55698 61176 68823 74264 83547 91764 111396 122352 137646 148528 167094 183528 222792 250641 275292 334188 367056 445584 501282 550584 668376 1002564 1101168 1336752 2005128 4010256 23662367 47324734 70987101 94649468 141974202 189298936 212961303 283948404 378597872 425922606 567896808 638883909 851845212 1135793616 1277767818 1703690424 2555535636 3407380848 5111071272 10222142544