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4225520 = 2451317239
BaseRepresentation
bin10000000111100111110000
321221200022202
4100013213300
52040204040
6230322332
750626205
oct20074760
97850282
104225520
112426772
1214b93a8
13b4c410
147bdcac
15587015
hex4079f0

4225520 has 80 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1462272.

The previous prime is 4225519. The next prime is 4225523. The reversal of 4225520 is 255224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4225492 and 4225501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225523) 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, 17561 + ... + 17799.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 24225520 is an apocalyptic number.

4225520 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 4225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

4225520 is an abundant number, since it is smaller than the sum of its proper divisors (7023760).

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

4225520 is a wasteful number, since it uses less digits than its factorization.

4225520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 4225520 is about 2055.6069663241. The cubic root of 4225520 is about 161.6689882875.

It can be divided in two parts, 4225 and 520, that multiplied together give a cube (2197000 = 1303).

The spelling of 4225520 in words is "four million, two hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 239 260 272 340 442 478 520 680 884 956 1040 1105 1195 1360 1768 1912 2210 2390 3107 3536 3824 4063 4420 4780 6214 8126 8840 9560 12428 15535 16252 17680 19120 20315 24856 31070 32504 40630 49712 52819 62140 65008 81260 105638 124280 162520 211276 248560 264095 325040 422552 528190 845104 1056380 2112760 4225520