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40222111332 = 223131988715299
BaseRepresentation
bin100101011101011011…
…001011011001100100
310211211010222221222010
4211131123023121210
51124333330030312
630251111234220
72622512206464
oct453533133144
9124733887863
1040222111332
1116070373627
127966378970
133a400abca0
141d37ca7ba4
1510a625c93c
hex95d6cb664

40222111332 has 96 divisors (see below), whose sum is σ = 106517376000. Its totient is φ = 11710680192.

The previous prime is 40222111331. The next prime is 40222111337. The reversal of 40222111332 is 23311122204.

It is a junction number, because it is equal to n+sod(n) for n = 40222111299 and 40222111308.

It is not an unprimeable number, because it can be changed into a prime (40222111331) 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, 2621419 + ... + 2636717.

It is an arithmetic number, because the mean of its divisors is an integer number (1109556000).

Almost surely, 240222111332 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 40222111332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53258688000).

40222111332 is an abundant number, since it is smaller than the sum of its proper divisors (66295264668).

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

40222111332 is a wasteful number, since it uses less digits than its factorization.

40222111332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16225 (or 16223 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 40222111332 its reverse (23311122204), we get a palindrome (63533233536).

The spelling of 40222111332 in words is "forty billion, two hundred twenty-two million, one hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 887 988 1482 1774 2661 2964 3548 5322 10644 11531 15299 16853 23062 30598 33706 34593 45897 46124 50559 61196 67412 69186 91794 101118 138372 183588 198887 202236 219089 290681 397774 438178 581362 596661 657267 795548 872043 876356 1162724 1193322 1314534 1744086 2386644 2629068 3488172 3778853 7557706 11336559 13570213 15115412 22673118 27140426 40710639 45346236 54280852 81421278 162842556 176412769 257834047 352825538 515668094 529238307 705651076 773502141 1031336188 1058476614 1547004282 2116953228 3094008564 3351842611 6703685222 10055527833 13407370444 20111055666 40222111332