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252229740 = 223573716231
BaseRepresentation
bin11110000100010…
…11100001101100
3122120121121011020
433002023201230
51004032322430
641010054140
76151626450
oct1702134154
9576547136
10252229740
1111a416a34
127057a350
1340343589
14256da660
1517224b10
hexf08b86c

252229740 has 96 divisors (see below), whose sum is σ = 829000704. Its totient is φ = 56090880.

The previous prime is 252229729. The next prime is 252229771. The reversal of 252229740 is 47922252.

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 31 ways as a sum of consecutive naturals, for example, 7425 + ... + 23655.

It is an arithmetic number, because the mean of its divisors is an integer number (8635424).

Almost surely, 2252229740 is an apocalyptic number.

252229740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252229740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414500352).

252229740 is an abundant number, since it is smaller than the sum of its proper divisors (576770964).

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

252229740 is a wasteful number, since it uses less digits than its factorization.

252229740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16287 (or 16285 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 252229740 is about 15881.7423477401. The cubic root of 252229740 is about 631.8278486146.

The spelling of 252229740 in words is "two hundred fifty-two million, two hundred twenty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7770 15540 16231 32462 48693 64924 81155 97386 113617 162310 194772 227234 243465 324620 340851 454468 486930 568085 600547 681702 973860 1136170 1201094 1363404 1704255 1801641 2272340 2402188 3002735 3408510 3603282 4203829 6005470 6817020 7206564 8407658 9008205 12010940 12611487 16815316 18016410 21019145 25222974 36032820 42038290 50445948 63057435 84076580 126114870 252229740