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42224325 = 352111331127
BaseRepresentation
bin1010000100010…
…0101011000101
32221110012212220
42201010223011
541302134300
64105002553
71021620663
oct241045305
987405786
1042224325
112191a840
1212183459
138995110
145871c33
153a90da0
hex2844ac5

42224325 has 96 divisors (see below), whose sum is σ = 85327872. Its totient is φ = 18144000.

The previous prime is 42224317. The next prime is 42224333. The reversal of 42224325 is 52342224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42224317) and next prime (42224333).

It is not a de Polignac number, because 42224325 - 23 = 42224317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42224295 and 42224304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 332412 + ... + 332538.

It is an arithmetic number, because the mean of its divisors is an integer number (888832).

Almost surely, 242224325 is an apocalyptic number.

It is an amenable number.

42224325 is an abundant number, since it is smaller than the sum of its proper divisors (43103547).

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

42224325 is a wasteful number, since it uses less digits than its factorization.

42224325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 190 counting only the distinct ones).

The product of its digits is 3840, while the sum is 24.

The square root of 42224325 is about 6498.0246998607. The cubic root of 42224325 is about 348.2204228467.

Adding to 42224325 its reverse (52342224), we get a palindrome (94566549).

The spelling of 42224325 in words is "forty-two million, two hundred twenty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 11 13 15 25 31 33 39 55 65 75 93 127 143 155 165 195 275 325 341 381 403 429 465 635 715 775 825 975 1023 1209 1397 1651 1705 1905 2015 2145 2325 3175 3575 3937 4191 4433 4953 5115 6045 6985 8255 8525 9525 10075 10725 11811 13299 18161 19685 20955 22165 24765 25575 30225 34925 41275 43307 51181 54483 59055 66495 90805 98425 104775 110825 123825 129921 153543 216535 255905 272415 295275 332475 454025 562991 649605 767715 1082675 1279525 1362075 1688973 2814955 3248025 3838575 8444865 14074775 42224325