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2054224433000 = 235310212011973
BaseRepresentation
bin11101111001001001010…
…100010100111101101000
321021101022102200110020102
4131321021110110331220
5232124022423324000
64211410410444532
7301261411403015
oct35711124247550
97241272613212
102054224433000
11722212158983
12292157733748
1311b935585b9c
14715d427670c
153867d67b3d5
hex1de49514f68

2054224433000 has 64 divisors (see below), whose sum is σ = 4811595581520. Its totient is φ = 820884576000.

The previous prime is 2054224432973. The next prime is 2054224433077. The reversal of 2054224433000 is 3344224502.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 59898646564 + 1994325786436 = 244742^2 + 1412206^2 .

It is a super-2 number, since 2×20542244330002 (a number of 25 digits) contains 22 as substring.

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, 15014 + ... + 2026986.

Almost surely, 22054224433000 is an apocalyptic number.

2054224433000 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 2054224433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405797790760).

2054224433000 is an abundant number, since it is smaller than the sum of its proper divisors (2757371148520).

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

2054224433000 is a wasteful number, since it uses less digits than its factorization.

2054224433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013015 (or 2013001 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

Adding to 2054224433000 its reverse (3344224502), we get a palindrome (2057568657502).

The spelling of 2054224433000 in words is "two trillion, fifty-four billion, two hundred twenty-four million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1021 2042 4084 5105 8168 10210 20420 25525 40840 51050 102100 127625 204200 255250 510500 1021000 2011973 4023946 8047892 10059865 16095784 20119730 40239460 50299325 80478920 100598650 201197300 251496625 402394600 502993250 1005986500 2011973000 2054224433 4108448866 8216897732 10271122165 16433795464 20542244330 41084488660 51355610825 82168977320 102711221650 205422443300 256778054125 410844886600 513556108250 1027112216500 2054224433000