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4225410 = 2325719353
BaseRepresentation
bin10000000111100110000010
321221200011200
4100013212002
52040203120
6230322030
750625660
oct20074602
97850150
104225410
112426682
1214b9316
13b4c357
147bdc30
15586e90
hex407982

4225410 has 96 divisors (see below), whose sum is σ = 13253760. Its totient is φ = 912384.

The previous prime is 4225381. The next prime is 4225411. The reversal of 4225410 is 145224.

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

It is not an unprimeable number, because it can be changed into a prime (4225411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11794 + ... + 12146.

It is an arithmetic number, because the mean of its divisors is an integer number (138060).

Almost surely, 24225410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4225410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6626880).

4225410 is an abundant number, since it is smaller than the sum of its proper divisors (9028350).

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

4225410 is a wasteful number, since it uses less digits than its factorization.

4225410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4225410 is about 2055.5802100624. The cubic root of 4225410 is about 161.6675854035.

It can be divided in two parts, 422 and 5410, that added together give a cube (5832 = 183).

The spelling of 4225410 in words is "four million, two hundred twenty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 353 399 570 630 665 706 798 855 1059 1197 1330 1710 1765 1995 2118 2394 2471 3177 3530 3990 4942 5295 5985 6354 6707 7413 10590 11970 12355 13414 14826 15885 20121 22239 24710 31770 33535 37065 40242 44478 46949 60363 67070 74130 93898 100605 111195 120726 140847 201210 222390 234745 281694 301815 422541 469490 603630 704235 845082 1408470 2112705 4225410