Search a number
-
+
1223382216 = 23373353421
BaseRepresentation
bin100100011101011…
…0101010011001000
310011021000020220110
41020322311103020
510001141212331
6321221154320
742213402000
oct11072652310
93137006813
101223382216
11578627191
122a185b9a0
131665c0204
14b8699000
1572608946
hex48eb54c8

1223382216 has 128 divisors (see below), whose sum is σ = 3585312000. Its totient is φ = 347719680.

The previous prime is 1223382211. The next prime is 1223382217. The reversal of 1223382216 is 6122833221.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1223382211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2905686 + ... + 2906106.

It is an arithmetic number, because the mean of its divisors is an integer number (28010250).

Almost surely, 21223382216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223382216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792656000).

1223382216 is an abundant number, since it is smaller than the sum of its proper divisors (2361929784).

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

1223382216 is a wasteful number, since it uses less digits than its factorization.

1223382216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 786 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 1223382216 is about 34976.8811645635. The cubic root of 1223382216 is about 1069.5162503069.

It can be divided in two parts, 12233 and 82216, that added together give a palindrome (94449).

The spelling of 1223382216 in words is "one billion, two hundred twenty-three million, three hundred eighty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 353 392 421 588 686 706 842 1029 1059 1176 1263 1372 1412 1684 2058 2118 2471 2526 2744 2824 2947 3368 4116 4236 4942 5052 5894 7413 8232 8472 8841 9884 10104 11788 14826 17297 17682 19768 20629 23576 29652 34594 35364 41258 51891 59304 61887 69188 70728 82516 103782 121079 123774 138376 144403 148613 165032 207564 242158 247548 288806 297226 363237 415128 433209 445839 484316 495096 577612 594452 726474 866418 891678 968632 1040291 1155224 1188904 1452948 1732836 1783356 2080582 2905896 3120873 3465672 3566712 4161164 6241746 7282037 8322328 12483492 14564074 21846111 24966984 29128148 43692222 50974259 58256296 87384444 101948518 152922777 174768888 203897036 305845554 407794072 611691108 1223382216