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2133312210 = 2325192943019
BaseRepresentation
bin111111100100111…
…1100001011010010
312111200012111012100
41333021330023102
513332111442320
6551404141230
7103602566061
oct17711741322
95450174170
102133312210
119a5221047
124b6537816
1327cc82623
1416347c1d8
15c7447790
hex7f27c2d2

2133312210 has 96 divisors (see below), whose sum is σ = 6040008000. Its totient is φ = 520345728.

The previous prime is 2133312157. The next prime is 2133312211. The reversal of 2133312210 is 122133312.

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 (2133312211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28081 + ... + 71099.

It is an arithmetic number, because the mean of its divisors is an integer number (62916750).

Almost surely, 22133312210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133312210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020004000).

2133312210 is an abundant number, since it is smaller than the sum of its proper divisors (3906695790).

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

2133312210 is a wasteful number, since it uses less digits than its factorization.

2133312210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43080 (or 43077 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2133312210 is about 46187.7928678130. The cubic root of 2133312210 is about 1287.3149306364.

Adding to 2133312210 its reverse (122133312), we get a palindrome (2255445522).

The spelling of 2133312210 in words is "two billion, one hundred thirty-three million, three hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 29 30 38 45 57 58 87 90 95 114 145 171 174 190 261 285 290 342 435 522 551 570 855 870 1102 1305 1653 1710 2610 2755 3306 4959 5510 8265 9918 16530 24795 43019 49590 86038 129057 215095 258114 387171 430190 645285 774342 817361 1247551 1290570 1634722 1935855 2452083 2495102 3742653 3871710 4086805 4904166 6237755 7356249 7485306 8173610 11227959 12260415 12475510 14712498 18713265 22455918 23703469 24520830 36781245 37426530 47406938 56139795 71110407 73562490 112279590 118517345 142220814 213331221 237034690 355552035 426662442 711104070 1066656105 2133312210