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10225104000 = 27353213023
BaseRepresentation
bin10011000010111011…
…01011010010000000
3222101121100002202120
421201131223102000
5131420111312000
64410343244240
7511246643556
oct114135532200
928347302676
1010225104000
114377893a81
121b94449680
13c6c5240c7
146cdddbbd6
153eca256a0
hex26176b480

10225104000 has 128 divisors (see below), whose sum is σ = 33896378880. Its totient is φ = 2726681600.

The previous prime is 10225103929. The next prime is 10225104013. The reversal of 10225104000 is 40152201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58512 + ... + 154511.

It is an arithmetic number, because the mean of its divisors is an integer number (264815460).

Almost surely, 210225104000 is an apocalyptic number.

10225104000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10225104000 is an abundant number, since it is smaller than the sum of its proper divisors (23671274880).

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

10225104000 is an equidigital number, since it uses as much as digits as its factorization.

10225104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213055 (or 213033 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10225104000 its reverse (40152201), we get a palindrome (10265256201).

The spelling of 10225104000 in words is "ten billion, two hundred twenty-five million, one hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 213023 426046 639069 852092 1065115 1278138 1704184 2130230 2556276 3195345 3408368 4260460 5112552 5325575 6390690 6816736 8520920 10225104 10651150 12781380 13633472 15976725 17041840 20450208 21302300 25562760 26627875 27266944 31953450 34083680 40900416 42604600 51125520 53255750 63906900 68167360 79883625 81800832 85209200 102251040 106511500 127813800 136334720 159767250 170418400 204502080 213023000 255627600 319534500 340836800 409004160 426046000 511255200 639069000 681673600 852092000 1022510400 1278138000 1704184000 2045020800 2556276000 3408368000 5112552000 10225104000