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4223520 = 253257419
BaseRepresentation
bin10000000111001000100000
321221120120200
4100013020200
52040123040
6230305200
750620320
oct20071040
97846520
104223520
112425214
1214b8200
13b4b532
147bd280
15586630
hex407220

4223520 has 144 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 963072.

The previous prime is 4223519. The next prime is 4223521. The reversal of 4223520 is 253224.

It is an interprime number because it is at equal distance from previous prime (4223519) and next prime (4223521).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4223493 and 4223502.

It is not an unprimeable number, because it can be changed into a prime (4223521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9871 + ... + 10289.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 24223520 is an apocalyptic number.

4223520 is a gapful number since it is divisible by the number (40) 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 4223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

4223520 is an abundant number, since it is smaller than the sum of its proper divisors (12287520).

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

4223520 is a wasteful number, since it uses less digits than its factorization.

4223520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4223520 is about 2055.1204344271. The cubic root of 4223520 is about 161.6434775020.

Adding to 4223520 its reverse (253224), we get a palindrome (4476744).

The spelling of 4223520 in words is "four million, two hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 419 420 480 504 560 630 672 720 838 840 1008 1120 1257 1260 1440 1676 1680 2016 2095 2514 2520 2933 3352 3360 3771 4190 5028 5040 5866 6285 6704 7542 8380 8799 10056 10080 11732 12570 13408 14665 15084 16760 17598 18855 20112 23464 25140 26397 29330 30168 33520 35196 37710 40224 43995 46928 50280 52794 58660 60336 67040 70392 75420 87990 93856 100560 105588 117320 120672 131985 140784 150840 175980 201120 211176 234640 263970 281568 301680 351960 422352 469280 527940 603360 703920 844704 1055880 1407840 2111760 4223520