Search a number
-
+
1215221100 = 2235223533323
BaseRepresentation
bin100100001101110…
…1100110101101100
310010200122121221220
41020123230311230
54442044033400
6320330223340
742054131442
oct11033546554
93120577856
101215221100
11573a62665
1229ab84b50
131649c3652
14b7572b92
1571a457a0
hex486ecd6c

1215221100 has 144 divisors (see below), whose sum is σ = 3739260672. Its totient is φ = 304029440.

The previous prime is 1215221087. The next prime is 1215221101. The reversal of 1215221100 is 11225121.

1215221100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1215221100.

It is not an unprimeable number, because it can be changed into a prime (1215221101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364039 + ... + 367361.

It is an arithmetic number, because the mean of its divisors is an integer number (25967088).

Almost surely, 21215221100 is an apocalyptic number.

1215221100 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 1215221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869630336).

1215221100 is an abundant number, since it is smaller than the sum of its proper divisors (2524039572).

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

1215221100 is a wasteful number, since it uses less digits than its factorization.

1215221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1215221100 is about 34860.0215146233. The cubic root of 1215221100 is about 1067.1327140969.

Adding to 1215221100 its reverse (11225121), we get a palindrome (1226446221).

The spelling of 1215221100 in words is "one billion, two hundred fifteen million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 53 60 69 75 92 100 106 115 138 150 159 212 230 265 276 300 318 345 460 530 575 636 690 795 1060 1150 1219 1325 1380 1590 1725 2300 2438 2650 3180 3323 3450 3657 3975 4876 5300 6095 6646 6900 7314 7950 9969 12190 13292 14628 15900 16615 18285 19938 24380 30475 33230 36570 39876 49845 60950 66460 73140 76429 83075 91425 99690 121900 152858 166150 176119 182850 199380 229287 249225 305716 332300 352238 365700 382145 458574 498450 528357 704476 764290 880595 917148 996900 1056714 1146435 1528580 1761190 1910725 2113428 2292870 2641785 3522380 3821450 4050737 4402975 4585740 5283570 5732175 7642900 8101474 8805950 10567140 11464350 12152211 13208925 16202948 17611900 20253685 22928700 24304422 26417850 40507370 48608844 52835700 60761055 81014740 101268425 121522110 202536850 243044220 303805275 405073700 607610550 1215221100