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2252204250 = 235331157617
BaseRepresentation
bin1000011000111101…
…1110100011011010
312210221220211102020
42012033132203122
514103031014000
61011252315310
7106545264102
oct20617364332
95727824366
102252204250
11a5634642a
1252a312b36
1329b7ac14a
1417518a202
15d2aceba0
hex863de8da

2252204250 has 128 divisors (see below), whose sum is σ = 5849266176. Its totient is φ = 576576000.

The previous prime is 2252204221. The next prime is 2252204261. The reversal of 2252204250 is 524022522.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2252204250.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3649942 + ... + 3650558.

It is an arithmetic number, because the mean of its divisors is an integer number (45697392).

Almost surely, 22252204250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252204250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924633088).

2252204250 is an abundant number, since it is smaller than the sum of its proper divisors (3597061926).

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

2252204250 is a wasteful number, since it uses less digits than its factorization.

2252204250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2252204250 is about 47457.3940498212. The cubic root of 2252204250 is about 1310.7984662754.

Adding to 2252204250 its reverse (524022522), we get a palindrome (2776226772).

The spelling of 2252204250 in words is "two billion, two hundred fifty-two million, two hundred four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 125 150 155 157 186 250 310 314 375 465 471 617 750 775 785 930 942 1234 1550 1570 1851 2325 2355 3085 3702 3875 3925 4650 4710 4867 6170 7750 7850 9255 9734 11625 11775 14601 15425 18510 19127 19625 23250 23550 24335 29202 30850 38254 39250 46275 48670 57381 58875 73005 77125 92550 95635 96869 114762 117750 121675 146010 154250 191270 193738 231375 243350 286905 290607 365025 462750 478175 484345 573810 581214 608375 730050 956350 968690 1216750 1434525 1453035 1825125 2390875 2421725 2869050 2906070 3002939 3650250 4781750 4843450 6005878 7172625 7265175 9008817 12108625 14345250 14530350 15014695 18017634 24217250 30029390 36325875 45044085 72651750 75073475 90088170 150146950 225220425 375367375 450440850 750734750 1126102125 2252204250