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400422240 = 25325278071
BaseRepresentation
bin10111110111011…
…111010101100000
31000220110120001100
4113313133111200
51310002002430
6103422234400
712631350531
oct2767372540
91026416040
10400422240
11196034179
12b2125a00
1364c5b84a
143b274688
1525248960
hex17ddf560

400422240 has 72 divisors (see below), whose sum is σ = 1366445808. Its totient is φ = 106778880.

The previous prime is 400422181. The next prime is 400422247. The reversal of 400422240 is 42224004.

400422240 is a `hidden beast` number, since 4 + 0 + 0 + 422 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400422247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137596 + ... + 140475.

It is an arithmetic number, because the mean of its divisors is an integer number (18978414).

Almost surely, 2400422240 is an apocalyptic number.

400422240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400422240 is an abundant number, since it is smaller than the sum of its proper divisors (966023568).

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

400422240 is a wasteful number, since it uses less digits than its factorization.

400422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278092 (or 278081 counting only the distinct ones).

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

The square root of 400422240 is about 20010.5532157409. The cubic root of 400422240 is about 737.0654661341.

Adding to 400422240 its reverse (42224004), we get a palindrome (442646244).

It can be divided in two parts, 4004 and 22240, that added together give a square (26244 = 1622).

The spelling of 400422240 in words is "four hundred million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 278071 556142 834213 1112284 1390355 1668426 2224568 2502639 2780710 3336852 4171065 4449136 5005278 5561420 6673704 8342130 8898272 10010556 11122840 12513195 13347408 16684260 20021112 22245680 25026390 26694816 33368520 40042224 44491360 50052780 66737040 80084448 100105560 133474080 200211120 400422240