Search a number
-
+
225002550 = 23523771571
BaseRepresentation
bin11010110100101…
…00010000110110
3120200101022110210
431122110100312
5430100040200
634154330250
75401330053
oct1532242066
9520338423
10225002550
1110600a823
1263429986
13377cc706
1421c5002a
1514b47650
hexd694436

225002550 has 96 divisors (see below), whose sum is σ = 582177024. Its totient is φ = 57456000.

The previous prime is 225002539. The next prime is 225002551. The reversal of 225002550 is 55200522.

It is a super-2 number, since 2×2250025502 = 101252295013005000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225002551) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 393765 + ... + 394335.

It is an arithmetic number, because the mean of its divisors is an integer number (6064344).

Almost surely, 2225002550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225002550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291088512).

225002550 is an abundant number, since it is smaller than the sum of its proper divisors (357174474).

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

225002550 is a wasteful number, since it uses less digits than its factorization.

225002550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 225002550 is about 15000.0849997592. The cubic root of 225002550 is about 608.2224972694. Note that the first 3 decimals are identical.

The spelling of 225002550 in words is "two hundred twenty-five million, two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 71 74 75 111 142 150 185 213 222 355 370 426 555 571 710 925 1065 1110 1142 1713 1775 1850 2130 2627 2775 2855 3426 3550 5254 5325 5550 5710 7881 8565 10650 13135 14275 15762 17130 21127 26270 28550 39405 40541 42254 42825 63381 65675 78810 81082 85650 105635 121623 126762 131350 197025 202705 211270 243246 316905 394050 405410 528175 608115 633810 1013525 1056350 1216230 1500017 1584525 2027050 3000034 3040575 3169050 4500051 6081150 7500085 9000102 15000170 22500255 37500425 45000510 75000850 112501275 225002550