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225252464550 = 235241311911743
BaseRepresentation
bin1101000111001000010…
…1111101011110100110
3210112102020020210120020
43101302011331132212
512142304112331200
6251251330020010
722162652233431
oct3216205753646
9715366223506
10225252464550
1187590164613
12377a4717606
1318319c4baa9
14ac8bbc6818
155cd53b5ea0
hex347217d7a6

225252464550 has 96 divisors (see below), whose sum is σ = 572483358720. Its totient is φ = 58578489600.

The previous prime is 225252464471. The next prime is 225252464599. The reversal of 225252464550 is 55464252522.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19175979 + ... + 19187721.

It is an arithmetic number, because the mean of its divisors is an integer number (5963368320).

Almost surely, 2225252464550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225252464550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286241679360).

225252464550 is an abundant number, since it is smaller than the sum of its proper divisors (347230894170).

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

225252464550 is a wasteful number, since it uses less digits than its factorization.

225252464550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14918 (or 14913 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 225252464550 in words is "two hundred twenty-five billion, two hundred fifty-two million, four hundred sixty-four thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 150 205 246 410 615 1025 1230 2050 3075 3119 6150 6238 9357 11743 15595 18714 23486 31190 35229 46785 58715 70458 77975 93570 117430 127879 155950 176145 233925 255758 293575 352290 383637 467850 481463 587150 639395 767274 880725 962926 1278790 1444389 1761450 1918185 2407315 2888778 3196975 3836370 4814630 6393950 7221945 9590925 12036575 14443890 19181850 24073150 36109725 36626417 72219450 73252834 109879251 183132085 219758502 366264170 549396255 915660425 1098792510 1501683097 1831320850 2746981275 3003366194 4505049291 5493962550 7508415485 9010098582 15016830970 22525246455 37542077425 45050492910 75084154850 112626232275 225252464550