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2244141512300 = 2252237971224233
BaseRepresentation
bin100000101010000001010…
…000011111011001101100
321221112112002011200210102
4200222001100133121230
5243232000211343200
64434535552530232
7321063630055532
oct40520120373154
97845462150712
102244141512300
1179580a419566
12302b1a550978
13133810973c9c
147a88d1ac152
153d5968136d5
hex20a8141f66c

2244141512300 has 72 divisors (see below), whose sum is σ = 5087896916256. Its totient is φ = 857550031360.

The previous prime is 2244141512281. The next prime is 2244141512311. The reversal of 2244141512300 is 32151414422.

It is a happy number.

It is a super-2 number, since 2×22441415123002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1220984 + ... + 2445216.

It is an arithmetic number, because the mean of its divisors is an integer number (70665234948).

Almost surely, 22244141512300 is an apocalyptic number.

2244141512300 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 2244141512300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543948458128).

2244141512300 is an abundant number, since it is smaller than the sum of its proper divisors (2843755403956).

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

2244141512300 is a wasteful number, since it uses less digits than its factorization.

2244141512300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225067 (or 1225060 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 2244141512300 its reverse (32151414422), we get a palindrome (2276292926722).

The spelling of 2244141512300 in words is "two trillion, two hundred forty-four billion, one hundred forty-one million, five hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 797 1150 1594 2300 3188 3985 7970 15940 18331 19925 36662 39850 73324 79700 91655 183310 366620 458275 916550 1224233 1833100 2448466 4896932 6121165 12242330 24484660 28157359 30605825 56314718 61211650 112629436 122423300 140786795 281573590 563147180 703933975 975713701 1407867950 1951427402 2815735900 3902854804 4878568505 9757137010 19514274020 22441415123 24392842525 44882830246 48785685050 89765660492 97571370100 112207075615 224414151230 448828302460 561035378075 1122070756150 2244141512300