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10220422144 = 21061163621
BaseRepresentation
bin10011000010010111…
…10100010000000000
3222101021112020110111
421201023310100000
5131412412002034
64410055041104
7511162104052
oct114113642000
928337466414
1010220422144
114375186479
121b92970194
13c6b57508a
146cd53d8d2
153ec3ed364
hex2612f4400

10220422144 has 44 divisors (see below), whose sum is σ = 20765922508. Its totient is φ = 5026406400.

The previous prime is 10220422141. The next prime is 10220422213. The reversal of 10220422144 is 44122402201.

It can be written as a sum of positive squares in 2 ways, for example, as 379782144 + 9840640000 = 19488^2 + 99200^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220422141) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 19347 + ... + 144274.

Almost surely, 210220422144 is an apocalyptic number.

It is an amenable number.

10220422144 is an abundant number, since it is smaller than the sum of its proper divisors (10545500364).

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

10220422144 is an equidigital number, since it uses as much as digits as its factorization.

10220422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163702 (or 163684 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 10220422144 its reverse (44122402201), we get a palindrome (54342824345).

The spelling of 10220422144 in words is "ten billion, two hundred twenty million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1952 3904 7808 15616 31232 62464 163621 327242 654484 1308968 2617936 5235872 9980881 10471744 19961762 20943488 39923524 41886976 79847048 83773952 159694096 167547904 319388192 638776384 1277552768 2555105536 5110211072 10220422144