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2133212202 = 2321122348313
BaseRepresentation
bin111111100100110…
…0011110000101010
312111200000102000100
41333021203300222
513332100242302
6551402050230
7103602001362
oct17711436052
95450012010
102133212202
119a51629a0
124b64a9976
1327cc48c54
141634539a2
15c7427d1c
hex7f263c2a

2133212202 has 48 divisors (see below), whose sum is σ = 5064853248. Its totient is φ = 643515840.

The previous prime is 2133212197. The next prime is 2133212261. The reversal of 2133212202 is 2022123312.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19998 + ... + 68310.

It is an arithmetic number, because the mean of its divisors is an integer number (105517776).

Almost surely, 22133212202 is an apocalyptic number.

2133212202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133212202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532426624).

2133212202 is an abundant number, since it is smaller than the sum of its proper divisors (2931641046).

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

2133212202 is a wasteful number, since it uses less digits than its factorization.

2133212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48555 (or 48552 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2133212202 is about 46186.7102314075. The cubic root of 2133212202 is about 1287.2948142179.

Adding to 2133212202 its reverse (2022123312), we get a palindrome (4155335514).

The spelling of 2133212202 in words is "two billion, one hundred thirty-three million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 223 446 669 1338 2007 2453 4014 4906 7359 14718 22077 44154 48313 96626 144939 289878 434817 531443 869634 1062886 1594329 3188658 4782987 9565974 10773799 21547598 32321397 64642794 96964191 118511789 193928382 237023578 355535367 711070734 1066606101 2133212202