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402244020 = 223253760397
BaseRepresentation
bin10111111110011…
…100000110110100
31001000220010001200
4113332130012310
51310433302040
6103525252500
712653006043
oct2776340664
91030803050
10402244020
11197068982
12b2864130
1365448b19
143b5ca55a
15254a8630
hex17f9c1b4

402244020 has 72 divisors (see below), whose sum is σ = 1253137704. Its totient is φ = 104364288.

The previous prime is 402244019. The next prime is 402244061. The reversal of 402244020 is 20442204.

402244020 is a `hidden beast` number, since 40 + 224 + 402 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62062884 + 340181136 = 7878^2 + 18444^2 .

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 = 402243984 and 402244002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23539 + ... + 36858.

Almost surely, 2402244020 is an apocalyptic number.

It is an amenable number.

402244020 is an abundant number, since it is smaller than the sum of its proper divisors (850893684).

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

402244020 is a wasteful number, since it uses less digits than its factorization.

402244020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60449 (or 60444 counting only the distinct ones).

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

The square root of 402244020 is about 20056.0220382807. The cubic root of 402244020 is about 738.1815712053.

Adding to 402244020 its reverse (20442204), we get a palindrome (422686224).

It can be divided in two parts, 40224 and 4020, that added together give a palindrome (44244).

The spelling of 402244020 in words is "four hundred two million, two hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 60397 120794 181191 241588 301985 362382 543573 603970 724764 905955 1087146 1207940 1811910 2174292 2234689 2717865 3623820 4469378 5435730 6704067 8938756 10871460 11173445 13408134 20112201 22346890 26816268 33520335 40224402 44693780 67040670 80448804 100561005 134081340 201122010 402244020