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2212132104 = 2332713337627
BaseRepresentation
bin1000001111011010…
…0111010100001000
312201011111221202200
42003312213110020
514012301211404
61003301400200
7105550545510
oct20366472410
95634457680
102212132104
11a35766656
12518a09060
132933bb810
1416db18840
15ce316839
hex83da7508

2212132104 has 96 divisors (see below), whose sum is σ = 7373795520. Its totient is φ = 583417728.

The previous prime is 2212132103. The next prime is 2212132129. The reversal of 2212132104 is 4012312122.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2212132103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162262 + ... + 175365.

It is an arithmetic number, because the mean of its divisors is an integer number (76810370).

Almost surely, 22212132104 is an apocalyptic number.

2212132104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2212132104 is an abundant number, since it is smaller than the sum of its proper divisors (5161663416).

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

2212132104 is a wasteful number, since it uses less digits than its factorization.

2212132104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337659 (or 337652 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2212132104 is about 47033.3084526275. The cubic root of 2212132104 is about 1302.9778096506.

Adding to 2212132104 its reverse (4012312122), we get a palindrome (6224444226).

The spelling of 2212132104 in words is "two billion, two hundred twelve million, one hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 337627 675254 1012881 1350508 2025762 2363389 2701016 3038643 4051524 4389151 4726778 6077286 7090167 8103048 8778302 9453556 12154572 13167453 14180334 17556604 18907112 21270501 24309144 26334906 28360668 30724057 35113208 39502359 42541002 52669812 56721336 61448114 79004718 85082004 92172171 105339624 122896228 158009436 170164008 184344342 245792456 276516513 316018872 368688684 553033026 737377368 1106066052 2212132104