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40222224 = 2433747283
BaseRepresentation
bin1001100101101…
…1111000010000
32210200111112000
42121123320100
540244102344
63554034000
7665611650
oct231337020
983614460
1040222224
1120782609
1211578900
138443a43
1454b0360
1537e7a69
hex265be10

40222224 has 160 divisors (see below), whose sum is σ = 135229440. Its totient is φ = 11207808.

The previous prime is 40222223. The next prime is 40222249. The reversal of 40222224 is 42222204.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40222197 and 40222206.

It is not an unprimeable number, because it can be changed into a prime (40222223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141987 + ... + 142269.

It is an arithmetic number, because the mean of its divisors is an integer number (845184).

Almost surely, 240222224 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 40222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67614720).

40222224 is an abundant number, since it is smaller than the sum of its proper divisors (95007216).

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

40222224 is a wasteful number, since it uses less digits than its factorization.

40222224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 40222224 is about 6342.0993369704. The cubic root of 40222224 is about 342.6273495914.

Adding to 40222224 its reverse (42222204), we get a palindrome (82444428).

The spelling of 40222224 in words is "forty million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 47 48 54 56 63 72 84 94 108 112 126 141 144 168 188 189 216 252 282 283 329 336 376 378 423 432 504 564 566 658 752 756 846 849 987 1008 1128 1132 1269 1316 1512 1692 1698 1974 1981 2256 2264 2538 2547 2632 2961 3024 3384 3396 3948 3962 4528 5076 5094 5264 5922 5943 6768 6792 7641 7896 7924 8883 10152 10188 11844 11886 13301 13584 15282 15792 15848 17766 17829 20304 20376 23688 23772 26602 30564 31696 35532 35658 39903 40752 47376 47544 53204 53487 61128 71064 71316 79806 93107 95088 106408 106974 119709 122256 142128 142632 159612 186214 212816 213948 239418 279321 285264 319224 359127 372428 427896 478836 558642 638448 718254 744856 837963 855792 957672 1117284 1436508 1489712 1675926 1915344 2234568 2513889 2873016 3351852 4469136 5027778 5746032 6703704 10055556 13407408 20111112 40222224