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245433000 = 23353233557
BaseRepresentation
bin11101010000100…
…00001010101000
3122002211021210010
432220100022220
51000312324000
640204251520
76040101051
oct1650201250
9562737703
10245433000
111165a449a
126a240ba0
133bb03a37
142484b728
1516830d50
hexea102a8

245433000 has 128 divisors (see below), whose sum is σ = 799269120. Its totient is φ = 62585600.

The previous prime is 245432981. The next prime is 245433017. The reversal of 245433000 is 334542.

It is a happy number.

245433000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67222 + ... + 70778.

It is an arithmetic number, because the mean of its divisors is an integer number (6244290).

Almost surely, 2245433000 is an apocalyptic number.

245433000 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 245433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399634560).

245433000 is an abundant number, since it is smaller than the sum of its proper divisors (553836120).

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

245433000 is a wasteful number, since it uses less digits than its factorization.

245433000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 245433000 is about 15666.3014141820. The cubic root of 245433000 is about 626.1008864067.

Adding to 245433000 its reverse (334542), we get a palindrome (245767542).

The spelling of 245433000 in words is "two hundred forty-five million, four hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 3557 4600 5750 6900 7114 8625 10671 11500 13800 14228 17250 17785 21342 23000 28456 34500 35570 42684 53355 69000 71140 81811 85368 88925 106710 142280 163622 177850 213420 245433 266775 327244 355700 409055 426840 444625 490866 533550 654488 711400 818110 889250 981732 1067100 1227165 1333875 1636220 1778500 1963464 2045275 2134200 2454330 2667750 3272440 3557000 4090550 4908660 5335500 6135825 8181100 9817320 10226375 10671000 12271650 16362200 20452750 24543300 30679125 40905500 49086600 61358250 81811000 122716500 245433000