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225721650 = 235271119543
BaseRepresentation
bin11010111010000…
…11110100110010
3120201201211220010
431131003310302
5430241043100
634221555350
75410413420
oct1535036462
9521654803
10225721650
11106461020
1263715b56
13379c1b0b
1421d9a110
1514c3a750
hexd743d32

225721650 has 96 divisors (see below), whose sum is σ = 697955328. Its totient is φ = 46900800.

The previous prime is 225721637. The next prime is 225721651. The reversal of 225721650 is 56127522.

225721650 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225721651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1779 + ... + 21321.

It is an arithmetic number, because the mean of its divisors is an integer number (7270368).

Almost surely, 2225721650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225721650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348977664).

225721650 is an abundant number, since it is smaller than the sum of its proper divisors (472233678).

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

225721650 is a wasteful number, since it uses less digits than its factorization.

225721650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19576 (or 19571 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 225721650 is about 15024.0357427690. The cubic root of 225721650 is about 608.8697605720.

The spelling of 225721650 in words is "two hundred twenty-five million, seven hundred twenty-one thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 50 55 66 70 75 77 105 110 150 154 165 175 210 231 275 330 350 385 462 525 550 770 825 1050 1155 1650 1925 2310 3850 5775 11550 19543 39086 58629 97715 117258 136801 195430 214973 273602 293145 410403 429946 488575 586290 644919 684005 820806 977150 1074865 1289838 1368010 1465725 1504811 2052015 2149730 2931450 3009622 3224595 3420025 4104030 4514433 5374325 6449190 6840050 7524055 9028866 10260075 10748650 15048110 16122975 20520150 22572165 32245950 37620275 45144330 75240550 112860825 225721650