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204055025200 = 245213123731723
BaseRepresentation
bin1011111000001010100…
…0001001011000110000
3201111200221112022022221
42332002220021120300
511320401041301300
6233424103210424
720512450044625
oct2760250113060
9644627468287
10204055025200
11795a28186a4
1233669746a14
131631c468380
149c3a87a34c
15549446831a
hex2f82a09630

204055025200 has 120 divisors (see below), whose sum is σ = 528396593648. Its totient is φ = 75280112640.

The previous prime is 204055025183. The next prime is 204055025203. The reversal of 204055025200 is 2520550402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (204055025203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6416539 + ... + 6448261.

Almost surely, 2204055025200 is an apocalyptic number.

204055025200 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 204055025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264198296824).

204055025200 is an abundant number, since it is smaller than the sum of its proper divisors (324341568448).

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

204055025200 is a wasteful number, since it uses less digits than its factorization.

204055025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32991 (or 32980 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

Adding to 204055025200 its reverse (2520550402), we get a palindrome (206575575602).

The spelling of 204055025200 in words is "two hundred four billion, fifty-five million, twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1237 1300 2474 2600 4948 5200 6185 9896 12370 16081 19792 24740 30925 31723 32162 49480 61850 63446 64324 80405 98960 123700 126892 128648 158615 160810 247400 253784 257296 317230 321620 402025 412399 494800 507568 634460 643240 793075 804050 824798 1268920 1286480 1586150 1608100 1649596 2061995 2537840 3172300 3216200 3299192 4123990 6344600 6432400 6598384 8247980 10309975 12689200 16495960 20619950 32991920 39241351 41239900 78482702 82479800 156965404 164959600 196206755 313930808 392413510 510137563 627861616 784827020 981033775 1020275126 1569654040 1962067550 2040550252 2550687815 3139308080 3924135100 4081100504 5101375630 7848270200 8162201008 10202751260 12753439075 15696540400 20405502520 25506878150 40811005040 51013756300 102027512600 204055025200