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204451840 = 212567149
BaseRepresentation
bin11000010111110…
…11000000000000
3112020201020012101
430023323000000
5404314424330
632142040144
75031545335
oct1413730000
9466636171
10204451840
11a545376a
1258579054
1333485728
141d22098c
1512e384ca
hexc2fb000

204451840 has 104 divisors (see below), whose sum is σ = 501289200. Its totient is φ = 80019456.

The previous prime is 204451829. The next prime is 204451861. The reversal of 204451840 is 48154402.

It is a junction number, because it is equal to n+sod(n) for n = 204451799 and 204451808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1372086 + ... + 1372234.

Almost surely, 2204451840 is an apocalyptic number.

204451840 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 204451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250644600).

204451840 is an abundant number, since it is smaller than the sum of its proper divisors (296837360).

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

204451840 is an equidigital number, since it uses as much as digits as its factorization.

204451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 204451840 is about 14298.6656720129. The cubic root of 204451840 is about 589.1108314703.

The spelling of 204451840 in words is "two hundred four million, four hundred fifty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 149 160 256 268 298 320 335 512 536 596 640 670 745 1024 1072 1192 1280 1340 1490 2048 2144 2384 2560 2680 2980 4096 4288 4768 5120 5360 5960 8576 9536 9983 10240 10720 11920 17152 19072 19966 20480 21440 23840 34304 38144 39932 42880 47680 49915 68608 76288 79864 85760 95360 99830 137216 152576 159728 171520 190720 199660 274432 305152 319456 343040 381440 399320 610304 638912 686080 762880 798640 1277824 1372160 1525760 1597280 2555648 3051520 3194560 5111296 6389120 10222592 12778240 20445184 25556480 40890368 51112960 102225920 204451840