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2172492100 = 2252592792
BaseRepresentation
bin1000000101111101…
…1001100101000100
312121101221000220101
42001133121211010
513422124221400
6555324013444
7104556610132
oct20137314504
95541830811
102172492100
11a15351519
12507691284
1328811caac
1416875a752
15caad656a
hex817d9944

2172492100 has 81 divisors (see below), whose sum is σ = 4857037437. Its totient is φ = 843454560.

The previous prime is 2172492073. The next prime is 2172492103. The reversal of 2172492100 is 12942712.

The square root of 2172492100 is 46610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 782097156 + 1390394944 = 27966^2 + 37288^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2172492103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27499861 + ... + 27499939.

Almost surely, 22172492100 is an apocalyptic number.

2172492100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2172492100 is the 46610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2172492100

2172492100 is an abundant number, since it is smaller than the sum of its proper divisors (2684545337).

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

2172492100 is an equidigital number, since it uses as much as digits as its factorization.

2172492100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The cubic root of 2172492100 is about 1295.1480081077.

The spelling of 2172492100 in words is "two billion, one hundred seventy-two million, four hundred ninety-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 79 100 118 158 236 295 316 395 590 790 1180 1475 1580 1975 2950 3481 3950 4661 5900 6241 6962 7900 9322 12482 13924 17405 18644 23305 24964 31205 34810 46610 62410 69620 87025 93220 116525 124820 156025 174050 233050 274999 312050 348100 368219 466100 549998 624100 736438 1099996 1374995 1472876 1841095 2749990 3682190 5499980 6874975 7364380 9205475 13749950 18410950 21724921 27499900 36821900 43449842 86899684 108624605 217249210 434498420 543123025 1086246050 2172492100