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221221244440 = 2357898877257
BaseRepresentation
bin1100111000000111010…
…0000100111000011000
3210011000021210121011201
43032001310010320120
512111030114310230
6245343323003544
721661032360220
oct3160164047030
9704007717151
10221221244440
1185901697249
1236a5a6695b4
1317b26a18c51
14a9c8667080
155b4b5255ca
hex3381d04e18

221221244440 has 64 divisors (see below), whose sum is σ = 575246318400. Its totient is φ = 74995058688.

The previous prime is 221221244437. The next prime is 221221244449. The reversal of 221221244440 is 44442122122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 221221244399 and 221221244408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221221244449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4413709 + ... + 4463548.

It is an arithmetic number, because the mean of its divisors is an integer number (8988223725).

Almost surely, 2221221244440 is an apocalyptic number.

221221244440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221244440 is an abundant number, since it is smaller than the sum of its proper divisors (354025073960).

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

221221244440 is a wasteful number, since it uses less digits than its factorization.

221221244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8877364 (or 8877360 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 221221244440 its reverse (44442122122), we get a palindrome (265663366562).

The spelling of 221221244440 in words is "two hundred twenty-one billion, two hundred twenty-one million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 280 356 445 623 712 890 1246 1780 2492 3115 3560 4984 6230 12460 24920 8877257 17754514 35509028 44386285 62140799 71018056 88772570 124281598 177545140 248563196 310703995 355090280 497126392 621407990 790075873 1242815980 1580151746 2485631960 3160303492 3950379365 5530531111 6320606984 7900758730 11061062222 15801517460 22122124444 27652655555 31603034920 44244248888 55305311110 110610622220 221221244440