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4221888 = 263111999
BaseRepresentation
bin10000000110101111000000
321221111100020
4100012233000
52040100023
6230253440
750612466
oct20065700
97844306
104221888
112423a70
1214b7280
13b4a878
147bc836
15585de3
hex406bc0

4221888 has 56 divisors (see below), whose sum is σ = 12192000. Its totient is φ = 1278720.

The previous prime is 4221883. The next prime is 4221911. The reversal of 4221888 is 8881224.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221883) 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, 1113 + ... + 3111.

Almost surely, 24221888 is an apocalyptic number.

4221888 is a gapful number since it is divisible by the number (48) 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 4221888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096000).

4221888 is an abundant number, since it is smaller than the sum of its proper divisors (7970112).

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

4221888 is a wasteful number, since it uses less digits than its factorization.

4221888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2015 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 4221888 is about 2054.7233390410. The cubic root of 4221888 is about 161.6226547332.

The spelling of 4221888 in words is "four million, two hundred twenty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1999 2112 3998 5997 7996 11994 15992 21989 23988 31984 43978 47976 63968 65967 87956 95952 127936 131934 175912 191904 263868 351824 383808 527736 703648 1055472 1407296 2110944 4221888