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2102241440 = 255133132603
BaseRepresentation
bin111110101001101…
…1010100010100000
312102111201221010002
41331103122202200
513301133211230
6544334155132
7103044520535
oct17523324240
95374657102
102102241440
1198972a122
124a8052aa8
132766c4160
1415d2b0d8c
15c485b545
hex7d4da8a0

2102241440 has 96 divisors (see below), whose sum is σ = 5521291776. Its totient is φ = 751150080.

The previous prime is 2102241439. The next prime is 2102241451. The reversal of 2102241440 is 441422012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48179 + ... + 80781.

It is an arithmetic number, because the mean of its divisors is an integer number (57513456).

Almost surely, 22102241440 is an apocalyptic number.

2102241440 is a gapful number since it is divisible by the number (20) 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 2102241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760645888).

2102241440 is an abundant number, since it is smaller than the sum of its proper divisors (3419050336).

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

2102241440 is a wasteful number, since it uses less digits than its factorization.

2102241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32662 (or 32654 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2102241440 is about 45850.2065426100. The cubic root of 2102241440 is about 1281.0346127251.

Adding to 2102241440 its reverse (441422012), we get a palindrome (2543663452).

The spelling of 2102241440 in words is "two billion, one hundred two million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 65 80 104 124 130 155 160 208 248 260 310 403 416 496 520 620 806 992 1040 1240 1612 2015 2080 2480 3224 4030 4960 6448 8060 12896 16120 32240 32603 64480 65206 130412 163015 260824 326030 423839 521648 652060 847678 1010693 1043296 1304120 1695356 2021386 2119195 2608240 3390712 4042772 4238390 5053465 5216480 6781424 8085544 8476780 10106930 13139009 13562848 16171088 16953560 20213860 26278018 32342176 33907120 40427720 52556036 65695045 67814240 80855440 105112072 131390090 161710880 210224144 262780180 420448288 525560360 1051120720 2102241440