Search a number
-
+
3222120342 = 2372293071231
BaseRepresentation
bin1100000000001101…
…1010011110010110
322022112222200011110
43000003122132112
523044330322332
61251421115450
7142563366600
oct30003323626
98275880143
103222120342
111403891781
1275b0b8b86
133c47150ac
14227d06170
1513cd1c4cc
hexc00da796

3222120342 has 96 divisors (see below), whose sum is σ = 7786437120. Its totient is φ = 885245760.

The previous prime is 3222120299. The next prime is 3222120359. The reversal of 3222120342 is 2430212223.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2616867 + ... + 2618097.

It is an arithmetic number, because the mean of its divisors is an integer number (81108720).

Almost surely, 23222120342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222120342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893218560).

3222120342 is an abundant number, since it is smaller than the sum of its proper divisors (4564316778).

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

3222120342 is a wasteful number, since it uses less digits than its factorization.

3222120342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3222120342 is about 56763.7238207643. The cubic root of 3222120342 is about 1477.0003069712. Note that the first 3 decimals are identical.

Adding to 3222120342 its reverse (2430212223), we get a palindrome (5652332565).

The spelling of 3222120342 in words is "three billion, two hundred twenty-two million, one hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 307 406 609 614 921 1218 1231 1421 1842 2149 2462 2842 3693 4263 4298 6447 7386 8526 8617 8903 12894 15043 17234 17806 25851 26709 30086 35699 45129 51702 53418 60319 62321 71398 90258 107097 120638 124642 180957 186963 214194 249893 361914 373926 377917 436247 499786 749679 755834 872494 1133751 1308741 1499358 1749251 2267502 2617482 2645419 3498502 5247753 5290838 7936257 10495506 10959593 15872514 18517933 21919186 32878779 37035866 55553799 65757558 76717151 111107598 153434302 230151453 460302906 537020057 1074040114 1611060171 3222120342