Search a number
-
+
2232122000 = 245341163167
BaseRepresentation
bin1000010100001011…
…0111101010010000
312202120010112202012
42011002313222100
514032410401000
61005254042052
7106212503213
oct20502675220
95676115665
102232122000
11a45a7a329
12523649328
1329759a464
1417263d77a
15d0e64735
hex850b7a90

2232122000 has 160 divisors (see below), whose sum is σ = 5596141824. Its totient is φ = 860544000.

The previous prime is 2232121987. The next prime is 2232122017. The reversal of 2232122000 is 2212322.

It is a super-3 number, since 3×22321220003 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13365917 + ... + 13366083.

Almost surely, 22232122000 is an apocalyptic number.

2232122000 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 2232122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798070912).

2232122000 is an abundant number, since it is smaller than the sum of its proper divisors (3364019824).

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

2232122000 is a wasteful number, since it uses less digits than its factorization.

2232122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2232122000 is about 47245.3383943855. The cubic root of 2232122000 is about 1306.8908258821.

Adding to 2232122000 its reverse (2212322), we get a palindrome (2234334322).

The spelling of 2232122000 in words is "two billion, two hundred thirty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 163 164 167 200 205 250 326 328 334 400 410 500 652 656 668 815 820 835 1000 1025 1304 1336 1630 1640 1670 2000 2050 2608 2672 3260 3280 3340 4075 4100 4175 5125 6520 6680 6683 6847 8150 8200 8350 10250 13040 13360 13366 13694 16300 16400 16700 20375 20500 20875 26732 27221 27388 32600 33400 33415 34235 40750 41000 41750 53464 54442 54776 65200 66800 66830 68470 81500 82000 83500 106928 108884 109552 133660 136105 136940 163000 167000 167075 171175 217768 267320 272210 273880 326000 334000 334150 342350 435536 534640 544420 547760 668300 680525 684700 835375 855875 1088840 1116061 1336600 1361050 1369400 1670750 1711750 2177680 2232122 2673200 2722100 2738800 3341500 3402625 3423500 4464244 5444200 5580305 6683000 6805250 6847000 8928488 10888400 11160610 13366000 13610500 13694000 17856976 22321220 27221000 27901525 44642440 54442000 55803050 89284880 111606100 139507625 223212200 279015250 446424400 558030500 1116061000 2232122000