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250152330 = 23531475997
BaseRepresentation
bin11101110100100…
…00010110001010
3122102201001111010
432322100112022
51003014333310
640453344350
76125155041
oct1672202612
9572631433
10250152330
1111922816a
126b9380b6
133ca96b3c
1425319558
1516e64320
hexee9058a

250152330 has 128 divisors (see below), whose sum is σ = 650280960. Its totient is φ = 61470720.

The previous prime is 250152311. The next prime is 250152337. The reversal of 250152330 is 33251052.

It is a junction number, because it is equal to n+sod(n) for n = 250152297 and 250152306.

It is not an unprimeable number, because it can be changed into a prime (250152337) by changing a digit.

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, 2578842 + ... + 2578938.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2250152330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250152330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

250152330 is an abundant number, since it is smaller than the sum of its proper divisors (400128630).

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

250152330 is a wasteful number, since it uses less digits than its factorization.

250152330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 250152330 is about 15816.2046648366. The cubic root of 250152330 is about 630.0884481513.

The spelling of 250152330 in words is "two hundred fifty million, one hundred fifty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 47 59 62 93 94 97 118 141 155 177 186 194 235 282 291 295 310 354 465 470 485 582 590 705 885 930 970 1410 1455 1457 1770 1829 2773 2910 2914 3007 3658 4371 4559 5487 5546 5723 6014 7285 8319 8742 9021 9118 9145 10974 11446 13677 13865 14570 15035 16638 17169 18042 18290 21855 22795 27354 27435 27730 28615 30070 34338 41595 43710 45105 45590 54870 57230 68385 83190 85845 85963 90210 136770 141329 171690 171926 177413 257889 268981 282658 354826 423987 429815 515778 532239 537962 706645 806943 847974 859630 887065 1064478 1289445 1344905 1413290 1613886 1774130 2119935 2578890 2661195 2689810 4034715 4239870 5322390 8069430 8338411 16676822 25015233 41692055 50030466 83384110 125076165 250152330