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245381700 = 223521814519
BaseRepresentation
bin11101010000000…
…11101001000100
3122002201200102010
432220003221010
51000304203300
640203214220
76036465354
oct1650035104
9562650363
10245381700
111165699a3
126a217370
133bab6595
1424836b64
1516820a50
hexea03a44

245381700 has 72 divisors (see below), whose sum is σ = 714051520. Its totient is φ = 65059200.

The previous prime is 245381683. The next prime is 245381707. The reversal of 245381700 is 7183542.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (245381707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52041 + ... + 56559.

Almost surely, 2245381700 is an apocalyptic number.

245381700 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 245381700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357025760).

245381700 is an abundant number, since it is smaller than the sum of its proper divisors (468669820).

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

245381700 is a wasteful number, since it uses less digits than its factorization.

245381700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 245381700 is about 15664.6640564041. The cubic root of 245381700 is about 626.0572611763.

The spelling of 245381700 in words is "two hundred forty-five million, three hundred eighty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 181 300 362 543 724 905 1086 1810 2172 2715 3620 4519 4525 5430 9038 9050 10860 13557 13575 18076 18100 22595 27114 27150 45190 54228 54300 67785 90380 112975 135570 225950 271140 338925 451900 677850 817939 1355700 1635878 2453817 3271756 4089695 4907634 8179390 9815268 12269085 16358780 20448475 24538170 40896950 49076340 61345425 81793900 122690850 245381700