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4422288 = 2431319373
BaseRepresentation
bin10000110111101010010000
322022200020110
4100313222100
52113003123
6234441320
752405653
oct20675220
98280213
104422288
112550592
121593240
13bbab50
1483189a
155c5493
hex437a90

4422288 has 80 divisors (see below), whose sum is σ = 12985280. Its totient is φ = 1285632.

The previous prime is 4422287. The next prime is 4422289. The reversal of 4422288 is 8822244.

It is an interprime number because it is at equal distance from previous prime (4422287) and next prime (4422289).

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (4422287) 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, 11670 + ... + 12042.

It is an arithmetic number, because the mean of its divisors is an integer number (162316).

Almost surely, 24422288 is an apocalyptic number.

4422288 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 4422288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492640).

4422288 is an abundant number, since it is smaller than the sum of its proper divisors (8562992).

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

4422288 is a wasteful number, since it uses less digits than its factorization.

4422288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 4422288 is about 2102.9236790716. The cubic root of 4422288 is about 164.1404705668.

The spelling of 4422288 in words is "four million, four hundred twenty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 373 456 494 624 741 746 912 988 1119 1482 1492 1976 2238 2964 2984 3952 4476 4849 5928 5968 7087 8952 9698 11856 14174 14547 17904 19396 21261 28348 29094 38792 42522 56696 58188 77584 85044 92131 113392 116376 170088 184262 232752 276393 340176 368524 552786 737048 1105572 1474096 2211144 4422288