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252266070 = 235723291801
BaseRepresentation
bin11110000100101…
…00011001010110
3122120200102222210
433002110121112
51004040003240
641010534250
76152140410
oct1702243126
9576612883
10252266070
1111a441261
1270597386
1340356c84
14257099b0
1517230780
hexf094656

252266070 has 128 divisors (see below), whose sum is σ = 747325440. Its totient is φ = 53222400.

The previous prime is 252266029. The next prime is 252266081. The reversal of 252266070 is 70662252.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139170 + ... + 140970.

It is an arithmetic number, because the mean of its divisors is an integer number (5838480).

Almost surely, 2252266070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252266070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373662720).

252266070 is an abundant number, since it is smaller than the sum of its proper divisors (495059370).

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

252266070 is a wasteful number, since it uses less digits than its factorization.

252266070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 252266070 is about 15882.8860727514. The cubic root of 252266070 is about 631.8581823409.

The spelling of 252266070 in words is "two hundred fifty-two million, two hundred sixty-six thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 29 30 35 42 46 58 69 70 87 105 115 138 145 161 174 203 210 230 290 322 345 406 435 483 609 667 690 805 870 966 1015 1218 1334 1610 1801 2001 2030 2415 3045 3335 3602 4002 4669 4830 5403 6090 6670 9005 9338 10005 10806 12607 14007 18010 20010 23345 25214 27015 28014 37821 41423 46690 52229 54030 63035 70035 75642 82846 104458 124269 126070 140070 156687 189105 207115 248538 261145 289961 313374 365603 378210 414230 522290 579922 621345 731206 783435 869883 1096809 1201267 1242690 1449805 1566870 1739766 1828015 2193618 2402534 2899610 3603801 3656030 4349415 5484045 6006335 7207602 8408869 8698830 10968090 12012670 16817738 18019005 25226607 36038010 42044345 50453214 84088690 126133035 252266070