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422293344 = 25311399899
BaseRepresentation
bin11001001010111…
…010111101100000
31002102121201120020
4121022322331200
51331101341334
6105523113440
713315301634
oct3112727540
91072551506
10422293344
111a7412270
12b9512880
1369648825
1440128dc4
1527118e49
hex192baf60

422293344 has 48 divisors (see below), whose sum is σ = 1209297600. Its totient is φ = 127967360.

The previous prime is 422293327. The next prime is 422293349. The reversal of 422293344 is 443392224.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422293349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198894 + ... + 201005.

It is an arithmetic number, because the mean of its divisors is an integer number (25193700).

Almost surely, 2422293344 is an apocalyptic number.

422293344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422293344 is an abundant number, since it is smaller than the sum of its proper divisors (787004256).

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

422293344 is a wasteful number, since it uses less digits than its factorization.

422293344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399923 (or 399915 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 422293344 is about 20549.7772250699. Note that the first 3 decimals coincide. The cubic root of 422293344 is about 750.2478256565.

The spelling of 422293344 in words is "four hundred twenty-two million, two hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 399899 799798 1199697 1599596 2399394 3199192 4398889 4798788 6398384 8797778 9597576 12796768 13196667 17595556 19195152 26393334 35191112 38390304 52786668 70382224 105573336 140764448 211146672 422293344