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2133212232 = 233199834759
BaseRepresentation
bin111111100100110…
…0011110001001000
312111200000102001110
41333021203301020
513332100242412
6551402050320
7103602001434
oct17711436110
95450012043
102133212232
119a5162a18
124b64a99a0
1327cc48c78
141634539c4
15c7427d3c
hex7f263c48

2133212232 has 64 divisors (see below), whose sum is σ = 5620608000. Its totient is φ = 672819264.

The previous prime is 2133212197. The next prime is 2133212261. The reversal of 2133212232 is 2322123312.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2133212199 and 2133212208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445869 + ... + 450627.

It is an arithmetic number, because the mean of its divisors is an integer number (87822000).

Almost surely, 22133212232 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 2133212232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810304000).

2133212232 is an abundant number, since it is smaller than the sum of its proper divisors (3487395768).

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

2133212232 is a wasteful number, since it uses less digits than its factorization.

2133212232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5770 (or 5766 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 2133212232 is about 46186.7105561762. The cubic root of 2133212232 is about 1287.2948202524.

Adding to 2133212232 its reverse (2322123312), we get a palindrome (4455335544).

The spelling of 2133212232 in words is "two billion, one hundred thirty-three million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 983 1966 2949 3932 4759 5898 7864 9518 11796 14277 18677 19036 23592 28554 37354 38072 56031 57108 74708 90421 112062 114216 149416 180842 224124 271263 361684 448248 542526 723368 1085052 2170104 4678097 9356194 14034291 18712388 28068582 37424776 56137164 88883843 112274328 177767686 266651529 355535372 533303058 711070744 1066606116 2133212232