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22132323300 = 22352372298707
BaseRepresentation
bin10100100111001100…
…000111001111100100
32010010102212111220210
4110213030013033210
5330311333321200
614100100255420
71412313433623
oct244714071744
963112774823
1022132323300
11942813508a
1243580a1570
1321193a20b9
1410dd5876ba
1589806a650
hex5273073e4

22132323300 has 144 divisors (see below), whose sum is σ = 66061674560. Its totient is φ = 5716707840.

The previous prime is 22132323293. The next prime is 22132323329. The reversal of 22132323300 is 332323122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2537547 + ... + 2546253.

Almost surely, 222132323300 is an apocalyptic number.

22132323300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33030837280).

22132323300 is an abundant number, since it is smaller than the sum of its proper divisors (43929351260).

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

22132323300 is a wasteful number, since it uses less digits than its factorization.

22132323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8990 (or 8983 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 22132323300 its reverse (332323122), we get a palindrome (22464646422).

The spelling of 22132323300 in words is "twenty-two billion, one hundred thirty-two million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 229 300 370 444 458 555 687 740 916 925 1110 1145 1374 1850 2220 2290 2748 2775 3435 3700 4580 5550 5725 6870 8473 8707 11100 11450 13740 16946 17175 17414 22900 25419 26121 33892 34350 34828 42365 43535 50838 52242 68700 84730 87070 101676 104484 127095 130605 169460 174140 211825 217675 254190 261210 322159 423650 435350 508380 522420 635475 644318 653025 847300 870700 966477 1270950 1288636 1306050 1610795 1932954 1993903 2541900 2612100 3221590 3865908 3987806 4832385 5981709 6443180 7975612 8053975 9664770 9969515 11963418 16107950 19329540 19939030 23926836 24161925 29908545 32215900 39878060 48323850 49847575 59817090 73774411 96647700 99695150 119634180 147548822 149542725 199390300 221323233 295097644 299085450 368872055 442646466 598170900 737744110 885292932 1106616165 1475488220 1844360275 2213232330 3688720550 4426464660 5533080825 7377441100 11066161650 22132323300