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422332400440 = 235234571004501
BaseRepresentation
bin1100010010101001111…
…10010000001100111000
31111101010001220212011001
412021110332100030320
523404414043303230
6522003345014344
742340535113126
oct6112476201470
91441101825131
10422332400440
111531236a2395
1269a263243b4
1330a972c3882
141662614c916
15aebc2d60ca
hex6254f90338

422332400440 has 64 divisors (see below), whose sum is σ = 993733738560. Its totient is φ = 161234304000.

The previous prime is 422332400429. The next prime is 422332400471. The reversal of 422332400440 is 44004233224.

It is a happy number.

It is a super-2 number, since 2×4223324004402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 422332400399 and 422332400408.

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 15 ways as a sum of consecutive naturals, for example, 81811 + ... + 922690.

It is an arithmetic number, because the mean of its divisors is an integer number (15527089665).

Almost surely, 2422332400440 is an apocalyptic number.

422332400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422332400440 is an abundant number, since it is smaller than the sum of its proper divisors (571401338120).

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

422332400440 is a wasteful number, since it uses less digits than its factorization.

422332400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004992 (or 1004988 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 422332400440 its reverse (44004233224), we get a palindrome (466336633664).

The spelling of 422332400440 in words is "four hundred twenty-two billion, three hundred thirty-two million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 457 460 914 920 1828 2285 3656 4570 9140 10511 18280 21022 42044 52555 84088 105110 210220 420440 1004501 2009002 4018004 5022505 8036008 10045010 20090020 23103523 40180040 46207046 92414092 115517615 184828184 231035230 459056957 462070460 918113914 924140920 1836227828 2295284785 3672455656 4590569570 9181139140 10558310011 18362278280 21116620022 42233240044 52791550055 84466480088 105583100110 211166200220 422332400440