Search a number
-
+
222322213032 = 233294346715907
BaseRepresentation
bin1100111100001101101…
…1111100000010101000
3210020212000110121011020
43033003123330002220
512120303441304112
6250044452332440
722030231426203
oct3170333740250
9706760417136
10222322213032
1186317103247
1237107314120
1317c70b4875a
14aa9097893a
155bb2eed48c
hex33c36fc0a8

222322213032 has 128 divisors (see below), whose sum is σ = 589639564800. Its totient is φ = 69733939968.

The previous prime is 222322213031. The next prime is 222322213051. The reversal of 222322213032 is 230312223222.

222322213032 is digitally balanced in base 2, 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 222322212993 and 222322213011.

It is not an unprimeable number, because it can be changed into a prime (222322213031) 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, 13968423 + ... + 13984329.

It is an arithmetic number, because the mean of its divisors is an integer number (4606559100).

Almost surely, 2222322213032 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 222322213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294819782400).

222322213032 is an abundant number, since it is smaller than the sum of its proper divisors (367317351768).

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

222322213032 is a wasteful number, since it uses less digits than its factorization.

222322213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16455 (or 16451 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 222322213032 its reverse (230312223222), we get a palindrome (452634436254).

The spelling of 222322213032 in words is "two hundred twenty-two billion, three hundred twenty-two million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 116 129 172 174 232 258 344 348 467 516 696 934 1032 1247 1401 1868 2494 2802 3736 3741 4988 5604 7482 9976 11208 13543 14964 15907 20081 27086 29928 31814 40162 40629 47721 54172 60243 63628 80324 81258 95442 108344 120486 127256 160648 162516 190884 240972 325032 381768 461303 481944 582349 684001 922606 1164698 1368002 1383909 1747047 1845212 2052003 2329396 2736004 2767818 3494094 3690424 4104006 4658792 5472008 5535636 6988188 7428569 8208012 11071272 13976376 14857138 16416024 19836029 22285707 29714276 39672058 44571414 59428552 59508087 79344116 89142828 119016174 158688232 178285656 215428501 238032348 319428467 430857002 476064696 638856934 646285503 861714004 958285401 1277713868 1292571006 1723428008 1916570802 2555427736 2585142012 3833141604 5170284024 7666283208 9263425543 18526851086 27790276629 37053702172 55580553258 74107404344 111161106516 222322213032