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40222240 = 25519101131
BaseRepresentation
bin1001100101101…
…1111000100000
32210200111112121
42121123320200
540244102430
63554034024
7665612002
oct231337040
983614477
1040222240
1120782623
1211578914
138443a56
1454b0372
1537e7a7a
hex265be20

40222240 has 96 divisors (see below), whose sum is σ = 101787840. Its totient is φ = 14976000.

The previous prime is 40222223. The next prime is 40222249. The reversal of 40222240 is 4222204.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (40222249) 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, 306975 + ... + 307105.

It is an arithmetic number, because the mean of its divisors is an integer number (1060290).

Almost surely, 240222240 is an apocalyptic number.

40222240 is a gapful number since it is divisible by the number (40) 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 40222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50893920).

40222240 is an abundant number, since it is smaller than the sum of its proper divisors (61565600).

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

40222240 is a wasteful number, since it uses less digits than its factorization.

40222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 40222240 is about 6342.1005983822. The cubic root of 40222240 is about 342.6273950227.

Adding to 40222240 its reverse (4222204), we get a palindrome (44444444).

The spelling of 40222240 in words is "forty million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 101 131 152 160 190 202 262 304 380 404 505 524 608 655 760 808 1010 1048 1310 1520 1616 1919 2020 2096 2489 2620 3040 3232 3838 4040 4192 4978 5240 7676 8080 9595 9956 10480 12445 13231 15352 16160 19190 19912 20960 24890 26462 30704 38380 39824 49780 52924 61408 66155 76760 79648 99560 105848 132310 153520 199120 211696 251389 264620 307040 398240 423392 502778 529240 1005556 1058480 1256945 2011112 2116960 2513890 4022224 5027780 8044448 10055560 20111120 40222240