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252422010 = 232523197619
BaseRepresentation
bin11110000101110…
…10011101111010
3122120222100220100
433002322131322
51004110001020
641014140230
76153360141
oct1702723572
9576870810
10252422010
1111a538435
1270651676
13403acc49
142574a758
1517261a90
hexf0ba77a

252422010 has 96 divisors (see below), whose sum is σ = 689420160. Its totient is φ = 63955584.

The previous prime is 252421993. The next prime is 252422017. The reversal of 252422010 is 10224252.

It is a super-2 number, since 2×2524220102 = 127433742264880200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (252422017) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 407481 + ... + 408099.

It is an arithmetic number, because the mean of its divisors is an integer number (7181460).

Almost surely, 2252422010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252422010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344710080).

252422010 is an abundant number, since it is smaller than the sum of its proper divisors (436998150).

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

252422010 is a wasteful number, since it uses less digits than its factorization.

252422010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 252422010 is about 15887.7943717811. The cubic root of 252422010 is about 631.9883513449.

Adding to 252422010 its reverse (10224252), we get a palindrome (262646262).

The spelling of 252422010 in words is "two hundred fifty-two million, four hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 197 207 230 345 394 414 591 619 690 985 1035 1182 1238 1773 1857 1970 2070 2955 3095 3546 3714 4531 5571 5910 6190 8865 9062 9285 11142 13593 14237 17730 18570 22655 27186 27855 28474 40779 42711 45310 55710 67965 71185 81558 85422 121943 128133 135930 142370 203895 213555 243886 256266 365829 407790 427110 609715 640665 731658 1097487 1219430 1281330 1829145 2194974 2804689 3658290 5487435 5609378 8414067 10974870 14023445 16828134 25242201 28046890 42070335 50484402 84140670 126211005 252422010