Search a number
-
+
1202225000 = 2355192531
BaseRepresentation
bin100011110101000…
…0111111101101000
310002210012100122212
41013222013331220
54430232200000
6315143504252
741535513104
oct10752077550
93083170585
101202225000
11567696489
12296758088
131620c3152
14b594c904
1570829c35
hex47a87f68

1202225000 has 96 divisors (see below), whose sum is σ = 2966997600. Its totient is φ = 455400000.

The previous prime is 1202224939. The next prime is 1202225009. The reversal of 1202225000 is 5222021.

It is not an unprimeable number, because it can be changed into a prime (1202225009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473735 + ... + 476265.

It is an arithmetic number, because the mean of its divisors is an integer number (30906225).

Almost surely, 21202225000 is an apocalyptic number.

1202225000 is a gapful number since it is divisible by the number (10) 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 1202225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483498800).

1202225000 is an abundant number, since it is smaller than the sum of its proper divisors (1764772600).

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

1202225000 is an equidigital number, since it uses as much as digits as its factorization.

1202225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 1202225000 is about 34673.1163871954. The cubic root of 1202225000 is about 1063.3149457048.

Adding to 1202225000 its reverse (5222021), we get a palindrome (1207447021).

The spelling of 1202225000 in words is "one billion, two hundred two million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 625 760 950 1000 1250 1900 2375 2500 2531 3125 3800 4750 5000 5062 6250 9500 10124 11875 12500 12655 19000 20248 23750 25000 25310 47500 48089 50620 59375 63275 95000 96178 101240 118750 126550 192356 237500 240445 253100 316375 384712 475000 480890 506200 632750 961780 1202225 1265500 1581875 1923560 2404450 2531000 3163750 4808900 6011125 6327500 7909375 9617800 12022250 12655000 15818750 24044500 30055625 31637500 48089000 60111250 63275000 120222500 150278125 240445000 300556250 601112500 1202225000