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226003500 = 22335316741
BaseRepresentation
bin11010111100010…
…00101000101100
3120202021011112000
431132020220230
5430324103000
634232012300
75412666222
oct1536105054
9522234460
10226003500
11106633858
1263831090
1337a901a8
1422030b12
1514c94000
hexd788a2c

226003500 has 96 divisors (see below), whose sum is σ = 731290560. Its totient is φ = 60264000.

The previous prime is 226003493. The next prime is 226003549. The reversal of 226003500 is 5300622.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5130 + ... + 21870.

It is an arithmetic number, because the mean of its divisors is an integer number (7617610).

Almost surely, 2226003500 is an apocalyptic number.

226003500 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 226003500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365645280).

226003500 is an abundant number, since it is smaller than the sum of its proper divisors (505287060).

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

226003500 is a wasteful number, since it uses less digits than its factorization.

226003500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16769 (or 16751 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 226003500 is about 15033.4127861906. The cubic root of 226003500 is about 609.1230793002.

The spelling of 226003500 in words is "two hundred twenty-six million, three thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 375 450 500 540 675 750 900 1125 1350 1500 2250 2700 3375 4500 6750 13500 16741 33482 50223 66964 83705 100446 150669 167410 200892 251115 301338 334820 418525 452007 502230 602676 753345 837050 904014 1004460 1255575 1506690 1674100 1808028 2092625 2260035 2511150 3013380 3766725 4185250 4520070 5022300 6277875 7533450 8370500 9040140 11300175 12555750 15066900 18833625 22600350 25111500 37667250 45200700 56500875 75334500 113001750 226003500