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2221343202144 = 253112103544699
BaseRepresentation
bin100000010100110010010…
…111110101101101100000
321212100200020010112122210
4200110302113311231200
5242343302324432034
64420245422002120
7316325645452143
oct40246227655540
97770606115583
102221343202144
11787080366720
122ba617416340
13131619611331
14797293c205a
153cbb00938e9
hex205325f5b60

2221343202144 has 48 divisors (see below), whose sum is σ = 6361119172800. Its totient is φ = 673134303360.

The previous prime is 2221343202139. The next prime is 2221343202149. The reversal of 2221343202144 is 4412023431222.

It is an interprime number because it is at equal distance from previous prime (2221343202139) and next prime (2221343202149).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22213432021442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221343202149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1051771294 + ... + 1051773405.

It is an arithmetic number, because the mean of its divisors is an integer number (132523316100).

Almost surely, 22221343202144 is an apocalyptic number.

2221343202144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2221343202144 is an abundant number, since it is smaller than the sum of its proper divisors (4139775970656).

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

2221343202144 is a wasteful number, since it uses less digits than its factorization.

2221343202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103544723 (or 2103544715 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2221343202144 its reverse (4412023431222), we get a palindrome (6633366633366).

The spelling of 2221343202144 in words is "two trillion, two hundred twenty-one billion, three hundred forty-three million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2103544699 4207089398 6310634097 8414178796 12621268194 16828357592 23138991689 25242536388 33656715184 46277983378 50485072776 67313430368 69416975067 92555966756 100970145552 138833950134 185111933512 201940291104 277667900268 370223867024 555335800536 740447734048 1110671601072 2221343202144