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226130520 = 233571124473
BaseRepresentation
bin11010111101001…
…11101001011000
3120202111121202110
431132213221120
5430342134040
634234432320
75414035440
oct1536475130
9522447673
10226130520
11106710230
12638926a0
1337b05c55
1422065120
1514cbb980
hexd7a7a58

226130520 has 128 divisors (see below), whose sum is σ = 845821440. Its totient is φ = 46986240.

The previous prime is 226130501. The next prime is 226130537. The reversal of 226130520 is 25031622.

It is a super-2 number, since 2×2261305202 = 102270024150940800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2997 + ... + 21476.

It is an arithmetic number, because the mean of its divisors is an integer number (6607980).

Almost surely, 2226130520 is an apocalyptic number.

226130520 is a gapful number since it is divisible by the number (20) 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 226130520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422910720).

226130520 is an abundant number, since it is smaller than the sum of its proper divisors (619690920).

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

226130520 is a wasteful number, since it uses less digits than its factorization.

226130520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24505 (or 24501 counting only the distinct ones).

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

The square root of 226130520 is about 15037.6367824203. The cubic root of 226130520 is about 609.2371724053.

The spelling of 226130520 in words is "two hundred twenty-six million, one hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 24473 48946 73419 97892 122365 146838 171311 195784 244730 269203 293676 342622 367095 489460 513933 538406 587352 685244 734190 807609 856555 978920 1027866 1076812 1346015 1370488 1468380 1615218 1713110 1884421 2055732 2153624 2569665 2692030 2936760 3230436 3426220 3768842 4038045 4111464 5139330 5384060 5653263 6460872 6852440 7537684 8076090 9422105 10278660 10768120 11306526 15075368 16152180 18844210 20557320 22613052 28266315 32304360 37688420 45226104 56532630 75376840 113065260 226130520