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400220424 = 233223241679
BaseRepresentation
bin10111110110101…
…110000100001000
31000220002022012200
4113312232010020
51304424023144
6103414040200
712626550252
oct2766560410
91026068180
10400220424
11195a0658a
12b2049060
1364bbaa26
143b220cd2
1525208c69
hex17dae108

400220424 has 48 divisors (see below), whose sum is σ = 1131062400. Its totient is φ = 127605984.

The previous prime is 400220419. The next prime is 400220459. The reversal of 400220424 is 424022004.

400220424 is a `hidden beast` number, since 400 + 220 + 42 + 4 = 666.

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 = 400220397 and 400220406.

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, 119184 + ... + 122495.

It is an arithmetic number, because the mean of its divisors is an integer number (23563800).

Almost surely, 2400220424 is an apocalyptic number.

It is an amenable number.

400220424 is an abundant number, since it is smaller than the sum of its proper divisors (730841976).

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

400220424 is a wasteful number, since it uses less digits than its factorization.

400220424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241714 (or 241707 counting only the distinct ones).

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

The square root of 400220424 is about 20005.5098410413. The cubic root of 400220424 is about 736.9416163684.

Adding to 400220424 its reverse (424022004), we get a palindrome (824242428).

The spelling of 400220424 in words is "four hundred million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 241679 483358 725037 966716 1450074 1933432 2175111 2900148 4350222 5558617 5800296 8700444 11117234 16675851 17400888 22234468 33351702 44468936 50027553 66703404 100055106 133406808 200110212 400220424