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15042015220 = 22529413371877
BaseRepresentation
bin11100000001001001…
…01110111111110100
31102211022012112201211
432000210232333310
5221301223441340
610524334331204
71041520006531
oct160044567764
942738175654
1015042015220
116419909741
122ab9659b04
131559469c2b
14a29a3dd88
155d08635ea
hex38092eff4

15042015220 has 96 divisors (see below), whose sum is σ = 33591710880. Its totient is φ = 5647810560.

The previous prime is 15042015139. The next prime is 15042015221. The reversal of 15042015220 is 2251024051.

It can be written as a sum of positive squares in 16 ways, for example, as 7583274724 + 7458740496 = 87082^2 + 86364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 15042015191 and 15042015200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15042015221) 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, 8012922 + ... + 8014798.

It is an arithmetic number, because the mean of its divisors is an integer number (349913655).

Almost surely, 215042015220 is an apocalyptic number.

15042015220 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 15042015220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16795855440).

15042015220 is an abundant number, since it is smaller than the sum of its proper divisors (18549695660).

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

15042015220 is a wasteful number, since it uses less digits than its factorization.

15042015220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 15042015220 its reverse (2251024051), we get a palindrome (17293039271).

The spelling of 15042015220 in words is "fifteen billion, forty-two million, fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 337 410 580 674 820 1189 1348 1685 1877 2378 3370 3754 4756 5945 6740 7508 9385 9773 11890 13817 18770 19546 23780 27634 37540 39092 48865 54433 55268 69085 76957 97730 108866 138170 153914 195460 217732 272165 276340 307828 384785 400693 544330 632549 769570 801386 1088660 1265098 1539140 1602772 2003465 2231753 2530196 3162745 4006930 4463506 6325490 8013860 8927012 11158765 12650980 18343921 22317530 25934509 36687842 44635060 51869018 73375684 91719605 103738036 129672545 183439210 259345090 366878420 518690180 752100761 1504201522 3008403044 3760503805 7521007610 15042015220