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221323412440 = 235131163365969
BaseRepresentation
bin1100111000011111100…
…1110100001111011000
3210011021102001021022201
43032013321310033120
512111232243144230
6245401412455544
721663412652134
oct3160771641730
9704242037281
10221323412440
1185954329609
1236a8891a5b4
1317b41c3b4a0
14a9d80603c4
155b554a75ca
hex3387e743d8

221323412440 has 64 divisors (see below), whose sum is σ = 536746240800. Its totient is φ = 81648924672.

The previous prime is 221323412419. The next prime is 221323412467. The reversal of 221323412440 is 44214323122.

It is a junction number, because it is equal to n+sod(n) for n = 221323412399 and 221323412408.

It is a congruent number.

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, 421776 + ... + 787744.

Almost surely, 2221323412440 is an apocalyptic number.

221323412440 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 221323412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268373120400).

221323412440 is an abundant number, since it is smaller than the sum of its proper divisors (315422828360).

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

221323412440 is a wasteful number, since it uses less digits than its factorization.

221323412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367156 (or 367152 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 221323412440 its reverse (44214323122), we get a palindrome (265537735562).

The spelling of 221323412440 in words is "two hundred twenty-one billion, three hundred twenty-three million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1163 2326 4652 5815 9304 11630 15119 23260 30238 46520 60476 75595 120952 151190 302380 365969 604760 731938 1463876 1829845 2927752 3659690 4757597 7319380 9515194 14638760 19030388 23787985 38060776 47575970 95151940 190303880 425621947 851243894 1702487788 2128109735 3404975576 4256219470 5533085311 8512438940 11066170622 17024877880 22132341244 27665426555 44264682488 55330853110 110661706220 221323412440