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2122112322 = 23211471631399
BaseRepresentation
bin111111001111100…
…1101110101000010
312110220010110211200
41332133031311002
513321230043242
6550324122030
7103405441251
oct17637156502
95426113750
102122112322
11999971440
124b2836316
1327a860885
14161ba4798
15c648404c
hex7e7cdd42

2122112322 has 96 divisors (see below), whose sum is σ = 5157734400. Its totient is φ = 625073760.

The previous prime is 2122112303. The next prime is 2122112353. The reversal of 2122112322 is 2232112212.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 2122112295 and 2122112304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1516179 + ... + 1517577.

It is an arithmetic number, because the mean of its divisors is an integer number (53726400).

Almost surely, 22122112322 is an apocalyptic number.

2122112322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122112322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578867200).

2122112322 is an abundant number, since it is smaller than the sum of its proper divisors (3035622078).

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

2122112322 is a wasteful number, since it uses less digits than its factorization.

2122112322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1625 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2122112322 is about 46066.3903730258. The cubic root of 2122112322 is about 1285.0581757893.

Adding to 2122112322 its reverse (2232112212), we get a palindrome (4354224534).

The spelling of 2122112322 in words is "two billion, one hundred twenty-two million, one hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 163 198 282 326 423 489 517 846 978 1034 1399 1467 1551 1793 2798 2934 3102 3586 4197 4653 5379 7661 8394 9306 10758 12591 15322 15389 16137 22983 25182 30778 32274 45966 46167 65753 68949 84271 92334 131506 137898 138501 168542 197259 228037 252813 277002 394518 456074 505626 591777 684111 723283 758439 1183554 1368222 1446566 1516878 2052333 2169849 2508407 4104666 4339698 5016814 6509547 7525221 10717739 13019094 15050442 21435478 22575663 32153217 45151326 64306434 96459651 117895129 192919302 235790258 353685387 707370774 1061056161 2122112322