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1221888 = 2833743
BaseRepresentation
bin100101010010100000000
32022002010010
410222110000
5303100023
642104520
713246233
oct4522400
92262103
101221888
11765028
124ab140
1333a215
1423b41a
15192093
hex12a500

1221888 has 72 divisors (see below), whose sum is σ = 3417568. Its totient is φ = 387072.

The previous prime is 1221863. The next prime is 1221907. The reversal of 1221888 is 8881221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28395 + ... + 28437.

21221888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708784).

1221888 is an abundant number, since it is smaller than the sum of its proper divisors (2195680).

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

1221888 is an equidigital number, since it uses as much as digits as its factorization.

1221888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its digits is 2048, while the sum is 30.

The square root of 1221888 is about 1105.3904287626. The cubic root of 1221888 is about 106.9080643909.

The spelling of 1221888 in words is "one million, two hundred twenty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 43 48 64 74 86 96 111 128 129 148 172 192 222 256 258 296 344 384 444 516 592 688 768 888 1032 1184 1376 1591 1776 2064 2368 2752 3182 3552 4128 4736 4773 5504 6364 7104 8256 9472 9546 11008 12728 14208 16512 19092 25456 28416 33024 38184 50912 76368 101824 152736 203648 305472 407296 610944 1221888