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2114222032 = 241329379473
BaseRepresentation
bin111111000000100…
…0111011111010000
312110100021121101201
41332001013133100
513312220101112
6545443040544
7103251406426
oct17601073720
95410247351
102114222032
1199547233a
124b0070154
1327902a370
14160b0d116
15c5926257
hex7e0477d0

2114222032 has 80 divisors (see below), whose sum is σ = 4687356240. Its totient is φ = 916586496.

The previous prime is 2114222029. The next prime is 2114222053. The reversal of 2114222032 is 2302224112.

It can be written as a sum of positive squares in 8 ways, for example, as 255232576 + 1858989456 = 15976^2 + 43116^2 .

It is a congruent number.

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, 218448 + ... + 227920.

It is an arithmetic number, because the mean of its divisors is an integer number (58591953).

Almost surely, 22114222032 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 2114222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343678120).

2114222032 is an abundant number, since it is smaller than the sum of its proper divisors (2573134208).

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

2114222032 is a wasteful number, since it uses less digits than its factorization.

2114222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9560 (or 9554 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2114222032 is about 45980.6701995523. The cubic root of 2114222032 is about 1283.4635265603.

Adding to 2114222032 its reverse (2302224112), we get a palindrome (4416446144).

The spelling of 2114222032 in words is "two billion, one hundred fourteen million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 29 37 52 58 74 104 116 148 208 232 296 377 464 481 592 754 962 1073 1508 1924 2146 3016 3848 4292 6032 7696 8584 9473 13949 17168 18946 27898 37892 55796 75784 111592 123149 151568 223184 246298 274717 350501 492596 549434 701002 985192 1098868 1402004 1970384 2197736 2804008 3571321 4395472 4556513 5608016 7142642 9113026 10164529 14285284 18226052 20329058 28570568 36452104 40658116 57141136 72904208 81316232 132138877 162632464 264277754 528555508 1057111016 2114222032