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40220424 = 23321733229
BaseRepresentation
bin1001100101101…
…1011100001000
32210200102001100
42121123130020
540244023144
63554021400
7665603466
oct231333410
983612040
1040220424
1120781222
1211577860
138442c8a
1454ad836
1537e7269
hex265b708

40220424 has 48 divisors (see below), whose sum is σ = 109593900. Its totient is φ = 13325184.

The previous prime is 40220407. The next prime is 40220441. The reversal of 40220424 is 42402204.

It is an interprime number because it is at equal distance from previous prime (40220407) and next prime (40220441).

It can be written as a sum of positive squares in 2 ways, for example, as 39463524 + 756900 = 6282^2 + 870^2 .

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 = 40220397 and 40220406.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10842 + ... + 14070.

Almost surely, 240220424 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 40220424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54796950).

40220424 is an abundant number, since it is smaller than the sum of its proper divisors (69373476).

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

40220424 is a wasteful number, since it uses less digits than its factorization.

40220424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3407 counting only the distinct ones).

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

The square root of 40220424 is about 6341.9574265364. The cubic root of 40220424 is about 342.6222384997.

Adding to 40220424 its reverse (42402204), we get a palindrome (82622628).

The spelling of 40220424 in words is "forty million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 692 1038 1384 1557 2076 3114 3229 4152 6228 6458 9687 12456 12916 19374 25832 29061 38748 58122 77496 116244 232488 558617 1117234 1675851 2234468 3351702 4468936 5027553 6703404 10055106 13406808 20110212 40220424