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225844038 = 23472231237
BaseRepresentation
bin11010111011000…
…01101101000110
3120201222001210000
431131201231012
5430304002123
634224342130
75411433300
oct1535415506
9521861700
10225844038
11106534a72
1263774946
1337a35734
1421dcc970
1514c61b43
hexd761b46

225844038 has 120 divisors (see below), whose sum is σ = 614770992. Its totient is φ = 61671456.

The previous prime is 225844037. The next prime is 225844039. The reversal of 225844038 is 830448522.

225844038 is a `hidden beast` number, since 2 + 2 + 584 + 40 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (225844037) and next prime (225844039).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 225843993 and 225844011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225844037) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 181956 + ... + 183192.

Almost surely, 2225844038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225844038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307385496).

225844038 is an abundant number, since it is smaller than the sum of its proper divisors (388926954).

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

225844038 is a wasteful number, since it uses less digits than its factorization.

225844038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 225844038 is about 15028.1082641828. The cubic root of 225844038 is about 608.9797852981.

The spelling of 225844038 in words is "two hundred twenty-five million, eight hundred forty-four thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 49 54 63 69 81 98 126 138 147 161 162 189 207 294 322 378 414 441 483 567 621 882 966 1127 1134 1237 1242 1323 1449 1863 2254 2474 2646 2898 3381 3711 3726 3969 4347 6762 7422 7938 8659 8694 10143 11133 13041 17318 20286 22266 25977 26082 28451 30429 33399 51954 56902 60613 60858 66798 77931 85353 91287 100197 121226 155862 170706 181839 182574 199157 200394 233793 256059 363678 398314 467586 512118 545517 597471 701379 768177 1091034 1194942 1394099 1402758 1536354 1636551 1792413 2304531 2788198 3273102 3584826 4182297 4609062 4909653 5377239 8364594 9819306 10754478 12546891 16131717 25093782 32263434 37640673 75281346 112922019 225844038