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245334880 = 2557534133
BaseRepresentation
bin11101001111110…
…00001101100000
3122002122022012001
432213320031200
51000301204010
640202213344
76036212020
oct1647701540
9562568161
10245334880
111165377aa
126a1b4254
133ba9b18b
1424823a80
1516811c3a
hexe9f8360

245334880 has 96 divisors (see below), whose sum is σ = 675065664. Its totient is φ = 82507776.

The previous prime is 245334841. The next prime is 245334893. The reversal of 245334880 is 88433542.

245334880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2453348802 = 120378406689228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57294 + ... + 61426.

It is an arithmetic number, because the mean of its divisors is an integer number (7031934).

Almost surely, 2245334880 is an apocalyptic number.

245334880 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 245334880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337532832).

245334880 is an abundant number, since it is smaller than the sum of its proper divisors (429730784).

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

245334880 is a wasteful number, since it uses less digits than its factorization.

245334880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 245334880 is about 15663.1695387619. The cubic root of 245334880 is about 626.0174404053.

The spelling of 245334880 in words is "two hundred forty-five million, three hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 70 80 106 112 140 160 212 224 265 280 371 424 530 560 742 848 1060 1120 1484 1696 1855 2120 2968 3710 4133 4240 5936 7420 8266 8480 11872 14840 16532 20665 28931 29680 33064 41330 57862 59360 66128 82660 115724 132256 144655 165320 219049 231448 289310 330640 438098 462896 578620 661280 876196 925792 1095245 1157240 1533343 1752392 2190490 2314480 3066686 3504784 4380980 4628960 6133372 7009568 7666715 8761960 12266744 15333430 17523920 24533488 30666860 35047840 49066976 61333720 122667440 245334880