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4270224 = 243771179
BaseRepresentation
bin10000010010100010010000
322000221122110
4100102202100
52043121344
6231305320
751203430
oct20224220
98027573
104270224
112457312
12151b240
13b6687a
147d22c0
155953b9
hex412890

4270224 has 80 divisors (see below), whose sum is σ = 12856320. Its totient is φ = 1196160.

The previous prime is 4270223. The next prime is 4270229. The reversal of 4270224 is 4220724.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4270224.

It is not an unprimeable number, because it can be changed into a prime (4270223) 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, 23767 + ... + 23945.

It is an arithmetic number, because the mean of its divisors is an integer number (160704).

Almost surely, 24270224 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 4270224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428160).

4270224 is an abundant number, since it is smaller than the sum of its proper divisors (8586096).

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

4270224 is a wasteful number, since it uses less digits than its factorization.

4270224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 4270224 is about 2066.4520318652. The cubic root of 4270224 is about 162.2371165685.

Adding to 4270224 its reverse (4220724), we get a palindrome (8490948).

The spelling of 4270224 in words is "four million, two hundred seventy thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 179 213 284 336 358 426 497 537 568 716 852 994 1074 1136 1253 1432 1491 1704 1988 2148 2506 2864 2982 3408 3759 3976 4296 5012 5964 7518 7952 8592 10024 11928 12709 15036 20048 23856 25418 30072 38127 50836 60144 76254 88963 101672 152508 177926 203344 266889 305016 355852 533778 610032 711704 1067556 1423408 2135112 4270224