[go: up one dir, main page]

Search a number
-
+
1222341030 = 2355661761
BaseRepresentation
bin100100011011011…
…0111000110100110
310011012001100200000
41020312313012212
510000404403110
6321143002130
742201504321
oct11066670646
93135040600
101222341030
11577a859a9
122a1439346
13166317321
14b84a77b8
15724a01c0
hex48db71a6

1222341030 has 96 divisors (see below), whose sum is σ = 3305117088. Its totient is φ = 325036800.

The previous prime is 1222341023. The next prime is 1222341031. The reversal of 1222341030 is 301432221.

1222341030 is a `hidden beast` number, since 1 + 2 + 223 + 410 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1222340994 and 1222341012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222341031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1605850 + ... + 1606610.

It is an arithmetic number, because the mean of its divisors is an integer number (34428303).

Almost surely, 21222341030 is an apocalyptic number.

1222341030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222341030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652558544).

1222341030 is an abundant number, since it is smaller than the sum of its proper divisors (2082776058).

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

1222341030 is an equidigital number, since it uses as much as digits as its factorization.

1222341030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1222341030 is about 34961.9940792856. The cubic root of 1222341030 is about 1069.2127525149.

Adding to 1222341030 its reverse (301432221), we get a palindrome (1523773251).

The spelling of 1222341030 in words is "one billion, two hundred twenty-two million, three hundred forty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 661 761 810 1215 1322 1522 1983 2283 2430 3305 3805 3966 4566 5949 6610 6849 7610 9915 11415 11898 13698 17847 19830 20547 22830 29745 34245 35694 41094 53541 59490 61641 68490 89235 102735 107082 123282 160623 178470 184923 205470 267705 308205 321246 369846 503021 535410 616410 803115 924615 1006042 1509063 1606230 1849230 2515105 3018126 4527189 5030210 7545315 9054378 13581567 15090630 22635945 27163134 40744701 45271890 67907835 81489402 122234103 135815670 203723505 244468206 407447010 611170515 1222341030