Search a number
-
+
1342222200 = 2332521167789
BaseRepresentation
bin101000000000000…
…1010111101111000
310110112121221201100
41100000022331320
510222102102300
6341104251400
745155462154
oct12000127570
93415557640
101342222200
11629716450
12315610b60
131850cc127
14ca392064
157cc80700
hex5000af78

1342222200 has 144 divisors (see below), whose sum is σ = 4917486600. Its totient is φ = 325382400.

The previous prime is 1342222177. The next prime is 1342222243. The reversal of 1342222200 is 22222431.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14095 + ... + 53694.

Almost surely, 21342222200 is an apocalyptic number.

1342222200 is a gapful number since it is divisible by the number (10) 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 1342222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458743300).

1342222200 is an abundant number, since it is smaller than the sum of its proper divisors (3575264400).

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

1342222200 is a wasteful number, since it uses less digits than its factorization.

1342222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67822 (or 67810 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1342222200 is about 36636.3508008098. The cubic root of 1342222200 is about 1103.0828670172.

Adding to 1342222200 its reverse (22222431), we get a palindrome (1364444631).

The spelling of 1342222200 in words is "one billion, three hundred forty-two million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 67789 135578 203367 271156 338945 406734 542312 610101 677890 745679 813468 1016835 1220202 1355780 1491358 1626936 1694725 2033670 2237037 2440404 2711560 2982716 3050505 3389450 3728395 4067340 4474074 4880808 5084175 5965432 6101010 6711111 6778900 7456790 8134680 8948148 10168350 11185185 12202020 13422222 13557800 14913580 15252525 17896296 18641975 20336700 22370370 24404040 26844444 29827160 30505050 33555555 37283950 40673400 44740740 53688888 55925925 61010100 67111110 74567900 89481480 111851850 122020200 134222220 149135800 167777775 223703700 268444440 335555550 447407400 671111100 1342222200