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422254440 = 233251172929
BaseRepresentation
bin11001001010110…
…001011101101000
31002102112202012100
4121022301131220
51331044120230
6105522213400
713315050336
oct3112613550
91072482170
10422254440
111a7396013
12b94b4260
1369633bca
1440118b56
152710c660
hex192b1768

422254440 has 48 divisors (see below), whose sum is σ = 1372328100. Its totient is φ = 112601088.

The previous prime is 422254429. The next prime is 422254451. The reversal of 422254440 is 44452224.

It is an interprime number because it is at equal distance from previous prime (422254429) and next prime (422254451).

It can be written as a sum of positive squares in 2 ways, for example, as 401842116 + 20412324 = 20046^2 + 4518^2 .

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, 586105 + ... + 586824.

Almost surely, 2422254440 is an apocalyptic number.

422254440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422254440 is an abundant number, since it is smaller than the sum of its proper divisors (950073660).

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

422254440 is a wasteful number, since it uses less digits than its factorization.

422254440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172946 (or 1172939 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 422254440 is about 20548.8306236632. The cubic root of 422254440 is about 750.2247859550.

It can be divided in two parts, 42225 and 4440, that added together give a triangular number (46665 = T305).

The spelling of 422254440 in words is "four hundred twenty-two million, two hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1172929 2345858 3518787 4691716 5864645 7037574 9383432 10556361 11729290 14075148 17593935 21112722 23458580 28150296 35187870 42225444 46917160 52781805 70375740 84450888 105563610 140751480 211127220 422254440