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10144244220 = 223511109714011
BaseRepresentation
bin10010111001010010…
…01110000111111100
3222011222011222222220
421130221032013330
5131233411303340
64354334205340
7506245440015
oct113451160774
928158158886
1010144244220
114336185910
121b71353850
13c58852596
146c339000c
153e58a1ed0
hex25ca4e1fc

10144244220 has 96 divisors (see below), whose sum is σ = 31016514816. Its totient is φ = 2456793600.

The previous prime is 10144244207. The next prime is 10144244221. The reversal of 10144244220 is 2244244101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144244221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717015 + ... + 731025.

It is an arithmetic number, because the mean of its divisors is an integer number (323088696).

Almost surely, 210144244220 is an apocalyptic number.

10144244220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144244220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15508257408).

10144244220 is an abundant number, since it is smaller than the sum of its proper divisors (20872270596).

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

10144244220 is a wasteful number, since it uses less digits than its factorization.

10144244220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15131 (or 15129 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10144244220 its reverse (2244244101), we get a palindrome (12388488321).

The spelling of 10144244220 in words is "ten billion, one hundred forty-four million, two hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1097 2194 3291 4388 5485 6582 10970 12067 13164 14011 16455 21940 24134 28022 32910 36201 42033 48268 56044 60335 65820 70055 72402 84066 120670 140110 144804 154121 168132 181005 210165 241340 280220 308242 362010 420330 462363 616484 724020 770605 840660 924726 1541210 1849452 2311815 3082420 4623630 9247260 15370067 30740134 46110201 61480268 76850335 92220402 153700670 169070737 184440804 230551005 307401340 338141474 461102010 507212211 676282948 845353685 922204020 1014424422 1690707370 2028848844 2536061055 3381414740 5072122110 10144244220