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2199223296 = 21032713361
BaseRepresentation
bin1000001100010101…
…0111110000000000
312200021020010012200
42003011113300000
514001000121141
61002120553200
7105333042504
oct20305276000
95607203180
102199223296
11a2944a016
12514622800
1329081bc7a
1416c118304
15cd116ab6
hex83157c00

2199223296 has 132 divisors (see below), whose sum is σ = 6441565104. Its totient is φ = 722534400.

The previous prime is 2199223291. The next prime is 2199223303. The reversal of 2199223296 is 6923229912.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199223291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652656 + ... + 656016.

Almost surely, 22199223296 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 2199223296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220782552).

2199223296 is an abundant number, since it is smaller than the sum of its proper divisors (4242341808).

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

2199223296 is a wasteful number, since it uses less digits than its factorization.

2199223296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458 (or 3437 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 2199223296 is about 46895.8771748647. The cubic root of 2199223296 is about 1300.4383720813.

The spelling of 2199223296 in words is "two billion, one hundred ninety-nine million, two hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 512 568 576 639 768 852 1024 1136 1152 1278 1536 1704 2272 2304 2556 3072 3361 3408 4544 4608 5112 6722 6816 9088 9216 10083 10224 13444 13632 18176 20166 20448 26888 27264 30249 36352 40332 40896 53776 54528 60498 72704 80664 81792 107552 109056 120996 161328 163584 215104 218112 238631 241992 322656 327168 430208 477262 483984 645312 654336 715893 860416 954524 967968 1290624 1431786 1720832 1909048 1935936 2147679 2581248 2863572 3441664 3818096 3871872 4295358 5162496 5727144 7636192 7743744 8590716 10324992 11454288 15272384 15487488 17181432 22908576 30544768 30974976 34362864 45817152 61089536 68725728 91634304 122179072 137451456 183268608 244358144 274902912 366537216 549805824 733074432 1099611648 2199223296