Search a number
-
+
422022420 = 22335781523
BaseRepresentation
bin11001001001111…
…000110100010100
31002102002221221000
4121021320310110
51331014204140
6105513223300
713313063031
oct3111706424
91072087830
10422022420
111a7247766
12b9401b30
1369582411
1440098388
15270b3a30
hex19278d14

422022420 has 48 divisors (see below), whose sum is σ = 1312960320. Its totient is φ = 112539168.

The previous prime is 422022409. The next prime is 422022431. The reversal of 422022420 is 24220224.

422022420 is a `hidden beast` number, since 4 + 220 + 22 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (422022409) and next prime (422022431).

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 = 422022393 and 422022402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390222 + ... + 391301.

It is an arithmetic number, because the mean of its divisors is an integer number (27353340).

Almost surely, 2422022420 is an apocalyptic number.

It is an amenable number.

422022420 is an abundant number, since it is smaller than the sum of its proper divisors (890937900).

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

422022420 is a wasteful number, since it uses less digits than its factorization.

422022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781541 (or 781533 counting only the distinct ones).

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

The square root of 422022420 is about 20543.1842711883. The cubic root of 422022420 is about 750.0873498263.

Adding to 422022420 its reverse (24220224), we get a palindrome (446242644).

The spelling of 422022420 in words is "four hundred twenty-two million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 781523 1563046 2344569 3126092 3907615 4689138 7033707 7815230 9378276 11722845 14067414 15630460 21101121 23445690 28134828 35168535 42202242 46891380 70337070 84404484 105505605 140674140 211011210 422022420