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250228032 = 26317312473
BaseRepresentation
bin11101110101000…
…10110101000000
3122102211220022220
432322202311000
51003024244112
640455131040
76125621535
oct1672426500
9572756286
10250228032
1111927a02a
126b973a80
133cac2432
1425338d8c
1516e7b98c
hexeea2d40

250228032 has 112 divisors (see below), whose sum is σ = 723912192. Its totient is φ = 75939840.

The previous prime is 250228019. The next prime is 250228061. The reversal of 250228032 is 230822052.

It is a super-3 number, since 3×2502280323 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 250227993 and 250228011.

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 15 ways as a sum of consecutive naturals, for example, 99948 + ... + 102420.

Almost surely, 2250228032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361956096).

250228032 is an abundant number, since it is smaller than the sum of its proper divisors (473684160).

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

250228032 is a wasteful number, since it uses less digits than its factorization.

250228032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 250228032 is about 15818.5976622455. The cubic root of 250228032 is about 630.1520016201.

The spelling of 250228032 in words is "two hundred fifty million, two hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 136 186 192 204 248 272 372 408 496 527 544 744 816 992 1054 1088 1488 1581 1632 1984 2108 2473 2976 3162 3264 4216 4946 5952 6324 7419 8432 9892 12648 14838 16864 19784 25296 29676 33728 39568 42041 50592 59352 76663 79136 84082 101184 118704 126123 153326 158272 168164 229989 237408 252246 306652 336328 459978 474816 504492 613304 672656 919956 1008984 1226608 1303271 1345312 1839912 2017968 2453216 2606542 2690624 3679824 3909813 4035936 4906432 5213084 7359648 7819626 8071872 10426168 14719296 15639252 20852336 31278504 41704672 62557008 83409344 125114016 250228032