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404022234420 = 22355713985439
BaseRepresentation
bin1011110000100011001…
…10100000110100110100
31102121212000010001100000
411320101212200310310
523104414143000140
6505334422351300
741122022220660
oct5702146406464
91377760101300
10404022234420
11146388022682
126637628b530
132c139a461cc
14157aa4638a0
15a799ab1a30
hex5e119a0d34

404022234420 has 288 divisors, whose sum is σ = 1462951526400. Its totient is φ = 91682492544.

The previous prime is 404022234409. The next prime is 404022234433. The reversal of 404022234420 is 24432220404.

404022234420 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 2 + 2 + 234 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 4686061 + ... + 4771499.

It is an arithmetic number, because the mean of its divisors is an integer number (5079692800).

Almost surely, 2404022234420 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 404022234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731475763200).

404022234420 is an abundant number, since it is smaller than the sum of its proper divisors (1058929291980).

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

404022234420 is a wasteful number, since it uses less digits than its factorization.

404022234420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85609 (or 85595 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 404022234420 its reverse (24432220404), we get a palindrome (428454454824).

The spelling of 404022234420 in words is "four hundred four billion, twenty-two million, two hundred thirty-four thousand, four hundred twenty".