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221003545440 = 2535460424053
BaseRepresentation
bin1100110111010011010…
…1100111101101100000
3210010110010011100021210
43031310311213231200
512110103401423230
6245305544550120
721652450066236
oct3156465475540
9703403140253
10221003545440
11857aa815817
12369b9782340
1317ac08a5982
14a9a7798956
155b37371eb0
hex3374d67b60

221003545440 has 48 divisors (see below), whose sum is σ = 696161169648. Its totient is φ = 58934278656.

The previous prime is 221003545439. The next prime is 221003545459. The reversal of 221003545440 is 44545300122.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 221003545398 and 221003545407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230211547 + ... + 230212506.

It is an arithmetic number, because the mean of its divisors is an integer number (14503357701).

Almost surely, 2221003545440 is an apocalyptic number.

221003545440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221003545440 is an abundant number, since it is smaller than the sum of its proper divisors (475157624208).

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

221003545440 is a wasteful number, since it uses less digits than its factorization.

221003545440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460424071 (or 460424063 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 221003545440 its reverse (44545300122), we get a palindrome (265548845562).

The spelling of 221003545440 in words is "two hundred twenty-one billion, three million, five hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 460424053 920848106 1381272159 1841696212 2302120265 2762544318 3683392424 4604240530 5525088636 6906360795 7366784848 9208481060 11050177272 13812721590 14733569696 18416962120 22100354544 27625443180 36833924240 44200709088 55250886360 73667848480 110501772720 221003545440