Search a number
-
+
40221232212 = 22371737617489
BaseRepresentation
bin100101011101010111…
…110100110001010100
310211211002100022001010
4211131113310301110
51124333113412322
630251040332220
72622501555450
oct453527646124
9124732308033
1040221232212
111606a923087
127966014070
133a3cb61ab5
141d37b19660
1510a613720c
hex95d5f4c54

40221232212 has 96 divisors (see below), whose sum is σ = 113611196160. Its totient is φ = 10811473920.

The previous prime is 40221232187. The next prime is 40221232213. The reversal of 40221232212 is 21223212204.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40221232213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5366964 + ... + 5374452.

It is an arithmetic number, because the mean of its divisors is an integer number (1183449960).

Almost surely, 240221232212 is an apocalyptic number.

40221232212 is a gapful number since it is divisible by the number (42) 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 40221232212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56805598080).

40221232212 is an abundant number, since it is smaller than the sum of its proper divisors (73389963948).

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

40221232212 is a wasteful number, since it uses less digits than its factorization.

40221232212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11281 (or 11279 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40221232212 its reverse (21223212204), we get a palindrome (61444444416).

The spelling of 40221232212 in words is "forty billion, two hundred twenty-one million, two hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 3761 7489 7522 11283 14978 15044 22467 22566 26327 29956 44934 45132 52423 52654 63937 78981 89868 104846 105308 127313 127874 157269 157962 191811 209692 254626 255748 314538 315924 381939 383622 447559 509252 629076 763878 767244 891191 895118 1342677 1527756 1782382 1790236 2673573 2685354 3564764 5347146 5370708 10694292 28166129 56332258 84498387 112664516 168996774 197162903 337993548 394325806 478824193 591488709 788651612 957648386 1182977418 1436472579 1915296772 2365954836 2872945158 3351769351 5745890316 6703538702 10055308053 13407077404 20110616106 40221232212