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2244888 = 233319547
BaseRepresentation
bin1000100100000100011000
311020001102000
420210010120
51033314023
6120041000
725036602
oct10440430
94201360
102244888
1112a3688
12903160
13607a49
14426172
152e5243
hex224118

2244888 has 64 divisors (see below), whose sum is σ = 6576000. Its totient is φ = 707616.

The previous prime is 2244883. The next prime is 2244899. The reversal of 2244888 is 8884422.

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 d-powerful number, because it can be written as 217 + 221 + 44 + 47 + 8 + 8 + 8 .

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3831 + ... + 4377.

It is an arithmetic number, because the mean of its divisors is an integer number (102750).

22244888 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 2244888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288000).

2244888 is an abundant number, since it is smaller than the sum of its proper divisors (4331112).

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

2244888 is a wasteful number, since it uses less digits than its factorization.

2244888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 571 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 2244888 is about 1498.2950310269. The cubic root of 2244888 is about 130.9377557178.

The spelling of 2244888 in words is "two million, two hundred forty-four thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 547 684 1026 1094 1368 1641 2052 2188 3282 4104 4376 4923 6564 9846 10393 13128 14769 19692 20786 29538 31179 39384 41572 59076 62358 83144 93537 118152 124716 187074 249432 280611 374148 561222 748296 1122444 2244888