Search a number
-
+
22222131120252 = 22327233834046087
BaseRepresentation
bin1010000110101111111100…
…01110110100100001111100
32220200102012112012102202200
411003113332032310201330
510403041411031322002
6115132412303551500
74452332060630310
oct503277616644174
986612175172680
1022222131120252
117098397762248
1225aa96a8bb590
13c526cbc078ab
1456b7b2141b40
152880ae1b6b1c
hex1435fe3b487c

22222131120252 has 72 divisors (see below), whose sum is σ = 66988453249536. Its totient is φ = 6073129000224.

The previous prime is 22222131120209. The next prime is 22222131120271. The reversal of 22222131120252 is 25202113122222.

22222131120252 is a `hidden beast` number, since 222 + 221 + 3 + 11 + 202 + 5 + 2 = 666.

It is a super-2 number, since 2×222221311202522 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1917017248 + ... + 1917028839.

Almost surely, 222222131120252 is an apocalyptic number.

It is an amenable number.

22222131120252 is an abundant number, since it is smaller than the sum of its proper divisors (44766322129284).

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

22222131120252 is a wasteful number, since it uses less digits than its factorization.

22222131120252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834046127 (or 3834046122 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 22222131120252 its reverse (25202113122222), we get a palindrome (47424244242474).

The spelling of 22222131120252 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred thirty-one million, one hundred twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 3834046087 7668092174 11502138261 15336184348 23004276522 26838322609 34506414783 46008553044 53676645218 69012829566 80514967827 88183060001 107353290436 138025659132 161029935654 176366120002 241544903481 264549180003 322059871308 352732240004 483089806962 529098360006 617281420007 793647540009 966179613924 1058196720012 1234562840014 1587295080018 1851844260021 2469125680028 3174590160036 3703688520042 5555532780063 7407377040084 11111065560126 22222131120252