Search a number
-
+
2232101220 = 2235374672153
BaseRepresentation
bin1000010100001011…
…0010100101100100
312202120002111020120
42011002302211210
514032404214340
61005253401540
7106212355506
oct20502624544
95676074216
102232101220
11a45a65758
125236392b0
13297590b6b
14172635d76
15d0e5d4d0
hex850b2964

2232101220 has 96 divisors (see below), whose sum is σ = 6435531648. Its totient is φ = 577631232.

The previous prime is 2232101189. The next prime is 2232101227. The reversal of 2232101220 is 221012322.

It is a happy number.

It is a super-3 number, since 3×22321012203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2232101220.

It is not an unprimeable number, because it can be changed into a prime (2232101227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035664 + ... + 1037816.

It is an arithmetic number, because the mean of its divisors is an integer number (67036788).

Almost surely, 22232101220 is an apocalyptic number.

2232101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217765824).

2232101220 is an abundant number, since it is smaller than the sum of its proper divisors (4203430428).

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

2232101220 is a wasteful number, since it uses less digits than its factorization.

2232101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2232101220 is about 47245.1184779973. The cubic root of 2232101220 is about 1306.8867703577.

Adding to 2232101220 its reverse (221012322), we get a palindrome (2453113542).

The spelling of 2232101220 in words is "two billion, two hundred thirty-two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 467 555 740 934 1110 1401 1868 2153 2220 2335 2802 4306 4670 5604 6459 7005 8612 9340 10765 12918 14010 17279 21530 25836 28020 32295 34558 43060 51837 64590 69116 79661 86395 103674 129180 159322 172790 207348 238983 259185 318644 345580 398305 477966 518370 796610 955932 1005451 1036740 1194915 1593220 2010902 2389830 3016353 4021804 4779660 5027255 6032706 10054510 12065412 15081765 20109020 30163530 37201687 60327060 74403374 111605061 148806748 186008435 223210122 372016870 446420244 558025305 744033740 1116050610 2232101220