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2125417900 = 2252198912569
BaseRepresentation
bin111111010101111…
…0100110110101100
312111010100102020111
41332223310312230
513323101333100
6550523025404
7103445516434
oct17653646654
95433312214
102125417900
119a0819a21
124b396b264
1327b44a338
141623c52c4
15c68d86ba
hex7eaf4dac

2125417900 has 72 divisors (see below), whose sum is σ = 4909842000. Its totient is φ = 796308480.

The previous prime is 2125417891. The next prime is 2125417907. The reversal of 2125417900 is 97145212.

It is not an unprimeable number, because it can be changed into a prime (2125417907) 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, 162816 + ... + 175384.

It is an arithmetic number, because the mean of its divisors is an integer number (68192250).

Almost surely, 22125417900 is an apocalyptic number.

2125417900 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 2125417900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454921000).

2125417900 is an abundant number, since it is smaller than the sum of its proper divisors (2784424100).

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

2125417900 is a wasteful number, since it uses less digits than its factorization.

2125417900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12691 (or 12684 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 2125417900 is about 46102.2548255506. The cubic root of 2125417900 is about 1285.7250673405.

The spelling of 2125417900 in words is "two billion, one hundred twenty-five million, four hundred seventeen thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 89 95 100 178 190 356 380 445 475 890 950 1691 1780 1900 2225 3382 4450 6764 8455 8900 12569 16910 25138 33820 42275 50276 62845 84550 125690 169100 238811 251380 314225 477622 628450 955244 1118641 1194055 1256900 2237282 2388110 4474564 4776220 5593205 5970275 11186410 11940550 21254179 22372820 23881100 27966025 42508358 55932050 85016716 106270895 111864100 212541790 425083580 531354475 1062708950 2125417900