Search a number
-
+
222496128 = 2732193139
BaseRepresentation
bin11010100001100…
…00010110000000
3120111122222022100
431100300112000
5423424334003
634024510400
75341120521
oct1520602600
9514588270
10222496128
111046586a8
126261b400
133713291a
142179a848
15147eeba3
hexd430580

222496128 has 48 divisors (see below), whose sum is σ = 640259100. Its totient is φ = 74164992.

The previous prime is 222496117. The next prime is 222496151. The reversal of 222496128 is 821694222.

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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 222496092 and 222496101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95418 + ... + 97721.

Almost surely, 2222496128 is an apocalyptic number.

It is an amenable number.

222496128 is an abundant number, since it is smaller than the sum of its proper divisors (417762972).

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

222496128 is a wasteful number, since it uses less digits than its factorization.

222496128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193159 (or 193144 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 222496128 is about 14916.3040998768. The cubic root of 222496128 is about 605.9556220157.

The spelling of 222496128 in words is "two hundred twenty-two million, four hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 193139 386278 579417 772556 1158834 1545112 1738251 2317668 3090224 3476502 4635336 6180448 6953004 9270672 12360896 13906008 18541344 24721792 27812016 37082688 55624032 74165376 111248064 222496128