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220000000224 = 253374110114957
BaseRepresentation
bin1100110011100100000…
…1011001100011100000
3210000212011210222001110
43030321001121203200
512101030000001344
6245022215303320
721615543101364
oct3147101314340
9700764728043
10220000000224
11853352a0404
123677967ab40
13179909c6c34
14a9103a72a4
155ac91e03b9
hex33390598e0

220000000224 has 192 divisors, whose sum is σ = 613630769472. Its totient is φ = 68917248000.

The previous prime is 220000000219. The next prime is 220000000237. The reversal of 220000000224 is 422000000022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14701354 + ... + 14716310.

It is an arithmetic number, because the mean of its divisors is an integer number (3195993591).

Almost surely, 2220000000224 is an apocalyptic number.

220000000224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220000000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306815384736).

220000000224 is an abundant number, since it is smaller than the sum of its proper divisors (393630769248).

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

220000000224 is a wasteful number, since it uses less digits than its factorization.

220000000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15149 (or 15141 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 220000000224 its reverse (422000000022), we get a palindrome (642000000246).

It can be divided in two parts, 22000000022 and 4, that multiplied together give a palindrome (88000000088).

The spelling of 220000000224 in words is "two hundred twenty billion, two hundred twenty-four", and thus it is an aban number.