Search a number
-
+
2133212208 = 243379191307
BaseRepresentation
bin111111100100110…
…0011110000110000
312111200000102000120
41333021203300300
513332100242313
6551402050240
7103602001401
oct17711436060
95450012016
102133212208
119a51629a6
124b64a9980
1327cc48c5a
141634539a8
15c7427d23
hex7f263c30

2133212208 has 80 divisors (see below), whose sum is σ = 5670232320. Its totient is φ = 690571008.

The previous prime is 2133212197. The next prime is 2133212261. The reversal of 2133212208 is 8022123312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1631491 + ... + 1632797.

It is an arithmetic number, because the mean of its divisors is an integer number (70877904).

Almost surely, 22133212208 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 2133212208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835116160).

2133212208 is an abundant number, since it is smaller than the sum of its proper divisors (3537020112).

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

2133212208 is a wasteful number, since it uses less digits than its factorization.

2133212208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2133212208 is about 46186.7102963612. The cubic root of 2133212208 is about 1287.2948154248.

The spelling of 2133212208 in words is "two billion, one hundred thirty-three million, two hundred twelve thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 919 1307 1776 1838 2614 2757 3676 3921 5228 5514 7352 7842 10456 11028 14704 15684 20912 22056 31368 34003 44112 48359 62736 68006 96718 102009 136012 145077 193436 204018 272024 290154 386872 408036 544048 580308 773744 816072 1160616 1201133 1632144 2321232 2402266 3603399 4804532 7206798 9609064 14413596 19218128 28827192 44441921 57654384 88883842 133325763 177767684 266651526 355535368 533303052 711070736 1066606104 2133212208