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2212612092 = 2233197913649
BaseRepresentation
bin1000001111100001…
…1100011111111100
312201012102100012000
42003320130133330
514012412041332
61003315542300
7105554615055
oct20370343774
95635370160
102212612092
11a35a64239
12518bba990
13293529132
1416dc0172c
15ce3adb7c
hex83e1c7fc

2212612092 has 96 divisors (see below), whose sum is σ = 6115200000. Its totient is φ = 689824512.

The previous prime is 2212612081. The next prime is 2212612093. The reversal of 2212612092 is 2902162122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212612093) 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, 155284 + ... + 168932.

It is an arithmetic number, because the mean of its divisors is an integer number (63700000).

Almost surely, 22212612092 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 2212612092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057600000).

2212612092 is an abundant number, since it is smaller than the sum of its proper divisors (3902587908).

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

2212612092 is a wasteful number, since it uses less digits than its factorization.

2212612092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13760 (or 13752 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2212612092 is about 47038.4108149925. The cubic root of 2212612092 is about 1303.0720427938.

The spelling of 2212612092 in words is "two billion, two hundred twelve million, six hundred twelve thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 79 108 114 158 171 228 237 316 342 474 513 684 711 948 1026 1422 1501 2052 2133 2844 3002 4266 4503 6004 8532 9006 13509 13649 18012 27018 27298 40527 40947 54036 54596 81054 81894 122841 162108 163788 245682 259331 368523 491364 518662 737046 777993 1037324 1078271 1474092 1555986 2156542 2333979 3111972 3234813 4313084 4667958 6469626 7001937 9335916 9704439 12939252 14003874 19408878 20487149 28007748 29113317 38817756 40974298 58226634 61461447 81948596 116453268 122922894 184384341 245845788 368768682 553153023 737537364 1106306046 2212612092