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245023020 = 2232511671847
BaseRepresentation
bin11101001101011…
…00000100101100
3122002001110101200
432212230010230
51000211214040
640151405500
76033442554
oct1646540454
9562043350
10245023020
11116344470
126a083890
133b9bc248
1424782164
151679e630
hexe9ac12c

245023020 has 144 divisors (see below), whose sum is σ = 823350528. Its totient is φ = 58481280.

The previous prime is 245022997. The next prime is 245023049. The reversal of 245023020 is 20320542.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 245022984 and 245023002.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 131737 + ... + 133583.

It is an arithmetic number, because the mean of its divisors is an integer number (5717712).

Almost surely, 2245023020 is an apocalyptic number.

245023020 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 245023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411675264).

245023020 is an abundant number, since it is smaller than the sum of its proper divisors (578327508).

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

245023020 is a wasteful number, since it uses less digits than its factorization.

245023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 245023020 is about 15653.2111721525. The cubic root of 245023020 is about 625.7520717247.

Adding to 245023020 its reverse (20320542), we get a palindrome (265343562).

The spelling of 245023020 in words is "two hundred forty-five million, twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 67 90 99 110 132 134 165 180 198 201 220 268 330 335 396 402 495 603 660 670 737 804 990 1005 1206 1340 1474 1847 1980 2010 2211 2412 2948 3015 3685 3694 4020 4422 5541 6030 6633 7370 7388 8844 9235 11055 11082 12060 13266 14740 16623 18470 20317 22110 22164 26532 27705 33165 33246 36940 40634 44220 55410 60951 66330 66492 81268 83115 101585 110820 121902 123749 132660 166230 182853 203170 243804 247498 304755 332460 365706 371247 406340 494996 609510 618745 731412 742494 914265 1113741 1219020 1237490 1361239 1484988 1828530 1856235 2227482 2474980 2722478 3657060 3712470 4083717 4454964 5444956 5568705 6806195 7424940 8167434 11137410 12251151 13612390 16334868 20418585 22274820 24502302 27224780 40837170 49004604 61255755 81674340 122511510 245023020