Search a number
-
+
1220022112 = 25293142409
BaseRepresentation
bin100100010111000…
…0000111101100000
310011000200112201011
41020232000331200
54444311201422
6321021150304
742143005531
oct11056007540
93130615634
101220022112
11576741741
122a06bb394
131659b499a
14b8062688
1572193077
hex48b80f60

1220022112 has 48 divisors (see below), whose sum is σ = 2564956800. Its totient is φ = 569963520.

The previous prime is 1220022109. The next prime is 1220022121. The reversal of 1220022112 is 2112200221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1220022092 and 1220022101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7564 + ... + 49972.

It is an arithmetic number, because the mean of its divisors is an integer number (53436600).

Almost surely, 21220022112 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 1220022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282478400).

1220022112 is an abundant number, since it is smaller than the sum of its proper divisors (1344934688).

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

1220022112 is a wasteful number, since it uses less digits than its factorization.

1220022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42479 (or 42471 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1220022112 is about 34928.8149240709. The cubic root of 1220022112 is about 1068.5361856644.

Adding to 1220022112 its reverse (2112200221), we get a palindrome (3332222333).

The spelling of 1220022112 in words is "one billion, two hundred twenty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 232 248 464 496 899 928 992 1798 3596 7192 14384 28768 42409 84818 169636 339272 678544 1229861 1314679 1357088 2459722 2629358 4919444 5258716 9838888 10517432 19677776 21034864 38125691 39355552 42069728 76251382 152502764 305005528 610011056 1220022112