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415225020 = 223572141233
BaseRepresentation
bin11000101111111…
…101010010111100
31001221022121122110
4120233331102330
51322244200040
6105111414020
713201232400
oct3057752274
91057277573
10415225020
111a3424781
12b7084310
13680424a2
143d209100
15266be980
hex18bfd4bc

415225020 has 72 divisors (see below), whose sum is σ = 1352456784. Its totient is φ = 94907904.

The previous prime is 415224973. The next prime is 415225021. The reversal of 415225020 is 20522514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415225021) 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, 67677 + ... + 73556.

It is an arithmetic number, because the mean of its divisors is an integer number (18784122).

Almost surely, 2415225020 is an apocalyptic number.

It is an amenable number.

415225020 is an abundant number, since it is smaller than the sum of its proper divisors (937231764).

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

415225020 is a wasteful number, since it uses less digits than its factorization.

415225020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141259 (or 141250 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 415225020 is about 20377.0709376986. The cubic root of 415225020 is about 746.0383820669.

Adding to 415225020 its reverse (20522514), we get a palindrome (435747534).

The spelling of 415225020 in words is "four hundred fifteen million, two hundred twenty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 141233 282466 423699 564932 706165 847398 988631 1412330 1694796 1977262 2118495 2824660 2965893 3954524 4236990 4943155 5931786 6920417 8473980 9886310 11863572 13840834 14829465 19772620 20761251 27681668 29658930 34602085 41522502 59317860 69204170 83045004 103806255 138408340 207612510 415225020