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4225452 = 22371117269
BaseRepresentation
bin10000000111100110101100
321221200020020
4100013212230
52040203302
6230322140
750626050
oct20074654
97850206
104225452
112426710
1214b9350
13b4c38a
147bdc60
15586ebc
hex4079ac

4225452 has 96 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 1029120.

The previous prime is 4225451. The next prime is 4225457. The reversal of 4225452 is 2545224.

4225452 = T153 + T154 + ... + T306.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4225451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15574 + ... + 15842.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 24225452 is an apocalyptic number.

4225452 is a gapful number since it is divisible by the number (42) 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 4225452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

4225452 is an abundant number, since it is smaller than the sum of its proper divisors (8838228).

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

4225452 is a wasteful number, since it uses less digits than its factorization.

4225452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its digits is 3200, while the sum is 24.

The square root of 4225452 is about 2055.5904261307. The cubic root of 4225452 is about 161.6681210530.

It can be divided in two parts, 4 and 225452, that added together give a triangular number (225456 = T671).

The spelling of 4225452 in words is "four million, two hundred twenty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 269 308 357 374 462 476 538 561 714 748 807 924 1076 1122 1309 1428 1614 1883 2244 2618 2959 3228 3766 3927 4573 5236 5649 5918 7532 7854 8877 9146 11298 11836 13719 15708 17754 18292 20713 22596 27438 32011 35508 41426 50303 54876 62139 64022 82852 96033 100606 124278 128044 150909 192066 201212 248556 301818 352121 384132 603636 704242 1056363 1408484 2112726 4225452