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221405484440 = 2357790733873
BaseRepresentation
bin1100111000110011001…
…0111001010110011000
3210011111010110221221102
43032030302321112120
512111414301000230
6245413503530532
721665430365120
oct3161462712630
9704433427842
10221405484440
1185996695508
1236ab02b9a48
1317b55c459ba
14aa04d05c80
155b5c7ba045
hex338ccb9598

221405484440 has 32 divisors (see below), whose sum is σ = 569328389280. Its totient is φ = 75910451712.

The previous prime is 221405484437. The next prime is 221405484449. The reversal of 221405484440 is 44484504122.

221405484440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2214054844402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221405484394 and 221405484403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221405484449) 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, 395366657 + ... + 395367216.

It is an arithmetic number, because the mean of its divisors is an integer number (17791512165).

Almost surely, 2221405484440 is an apocalyptic number.

221405484440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221405484440 is an abundant number, since it is smaller than the sum of its proper divisors (347922904840).

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

221405484440 is a wasteful number, since it uses less digits than its factorization.

221405484440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790733891 (or 790733887 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 38.

Adding to 221405484440 its reverse (44484504122), we get a palindrome (265889988562).

The spelling of 221405484440 in words is "two hundred twenty-one billion, four hundred five million, four hundred eighty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 790733873 1581467746 3162935492 3953669365 5535137111 6325870984 7907338730 11070274222 15814677460 22140548444 27675685555 31629354920 44281096888 55351371110 110702742220 221405484440