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40221468 = 2233783641
BaseRepresentation
bin1001100101101…
…1101100011100
32210200110111000
42121123230130
540244041333
63554030300
7665606520
oct231335434
983613430
1040221468
1120781a91
1211578390
1384435b1
1454add80
1537e7713
hex265bb1c

40221468 has 96 divisors (see below), whose sum is σ = 120798720. Its totient is φ = 11335680.

The previous prime is 40221443. The next prime is 40221481. The reversal of 40221468 is 86412204.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62428 + ... + 63068.

It is an arithmetic number, because the mean of its divisors is an integer number (1258320).

Almost surely, 240221468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40221468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60399360).

40221468 is an abundant number, since it is smaller than the sum of its proper divisors (80577252).

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

40221468 is a wasteful number, since it uses less digits than its factorization.

40221468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40221468 is about 6342.0397349749. The cubic root of 40221468 is about 342.6252029515.

The spelling of 40221468 in words is "forty million, two hundred twenty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 83 84 108 126 166 189 249 252 332 378 498 581 641 747 756 996 1162 1282 1494 1743 1923 2241 2324 2564 2988 3486 3846 4482 4487 5229 5769 6972 7692 8964 8974 10458 11538 13461 15687 17307 17948 20916 23076 26922 31374 34614 40383 53203 53844 62748 69228 80766 106406 121149 159609 161532 212812 242298 319218 372421 478827 484596 638436 744842 957654 1117263 1436481 1489684 1915308 2234526 2872962 3351789 4469052 5745924 6703578 10055367 13407156 20110734 40221468