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415223130 = 2357171071087
BaseRepresentation
bin11000101111111…
…100110101011010
31001221022112001110
4120233330311122
51322244120010
6105111401150
713201224030
oct3057746532
91057275043
10415223130
111a3423313
12b70831b6
136804167a
143d208550
15266be120
hex18bfcd5a

415223130 has 128 divisors (see below), whose sum is σ = 1218281472. Its totient is φ = 88409088.

The previous prime is 415223119. The next prime is 415223141. The reversal of 415223130 is 31322514.

It is an interprime number because it is at equal distance from previous prime (415223119) and next prime (415223141).

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

It is a junction number, because it is equal to n+sod(n) for n = 415223097 and 415223106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381447 + ... + 382533.

It is an arithmetic number, because the mean of its divisors is an integer number (9517824).

Almost surely, 2415223130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415223130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609140736).

415223130 is an abundant number, since it is smaller than the sum of its proper divisors (803058342).

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

415223130 is a wasteful number, since it uses less digits than its factorization.

415223130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 415223130 is about 20377.0245619914. The cubic root of 415223130 is about 746.0372501387.

Adding to 415223130 its reverse (31322514), we get a palindrome (446545644).

The spelling of 415223130 in words is "four hundred fifteen million, two hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 107 119 170 210 214 238 255 321 357 510 535 595 642 714 749 1070 1087 1190 1498 1605 1785 1819 2174 2247 3210 3261 3570 3638 3745 4494 5435 5457 6522 7490 7609 9095 10870 10914 11235 12733 15218 16305 18190 18479 22470 22827 25466 27285 32610 36958 38045 38199 45654 54570 55437 63665 76090 76398 92395 110874 114135 116309 127330 129353 184790 190995 228270 232618 258706 277185 348927 381990 388059 554370 581545 646765 697854 776118 814163 1163090 1293530 1628326 1744635 1940295 1977253 2442489 3489270 3880590 3954506 4070815 4884978 5931759 8141630 9886265 11863518 12212445 13840771 19772530 24424890 27681542 29658795 41522313 59317590 69203855 83044626 138407710 207611565 415223130