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248664330 = 2355313301
BaseRepresentation
bin11101101001001…
…01000100001010
3122022220110100000
432310211010022
51002124224310
640401423430
76106416615
oct1664450412
9568813300
10248664330
11118401212
126b33ab76
133c695775
142504d17c
1516c6d4c0
hexed2510a

248664330 has 96 divisors (see below), whose sum is σ = 692310528. Its totient is φ = 64152000.

The previous prime is 248664329. The next prime is 248664337. The reversal of 248664330 is 33466842.

It is a happy number.

248664330 is a `hidden beast` number, since 2 + 4 + 8 + 6 + 643 + 3 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248664337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73680 + ... + 76980.

It is an arithmetic number, because the mean of its divisors is an integer number (7211568).

Almost surely, 2248664330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248664330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346155264).

248664330 is an abundant number, since it is smaller than the sum of its proper divisors (443646198).

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

248664330 is a wasteful number, since it uses less digits than its factorization.

248664330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 248664330 is about 15769.0941401210. The cubic root of 248664330 is about 628.8366285259.

The spelling of 248664330 in words is "two hundred forty-eight million, six hundred sixty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 243 270 279 310 405 465 486 558 810 837 930 1215 1395 1674 2430 2511 2790 3301 4185 5022 6602 7533 8370 9903 12555 15066 16505 19806 25110 29709 33010 37665 49515 59418 75330 89127 99030 102331 148545 178254 204662 267381 297090 306993 445635 511655 534762 613986 802143 891270 920979 1023310 1336905 1534965 1604286 1841958 2673810 2762937 3069930 4010715 4604895 5525874 8021430 8288811 9209790 13814685 16577622 24866433 27629370 41444055 49732866 82888110 124332165 248664330