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1332220022420 = 22574725973013
BaseRepresentation
bin10011011000101110100…
…000000100111010010100
311201100200201000011211212
4103120232200010322110
5133311341311204140
62500002522320552
7165151440230660
oct23305640047224
94640621004755
101332220022420
11473a9a5209a1
12196239959158
13988213b1571
14486a07a38a0
15249c28c3765
hex1362e804e94

1332220022420 has 144 divisors (see below), whose sum is σ = 3322218775680. Its totient is φ = 439459812096.

The previous prime is 1332220022381. The next prime is 1332220022443. The reversal of 1332220022420 is 242200222331.

It is a congruent number.

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, 18209834 + ... + 18282846.

It is an arithmetic number, because the mean of its divisors is an integer number (23070963720).

Almost surely, 21332220022420 is an apocalyptic number.

1332220022420 is a gapful number since it is divisible by the number (10) 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 1332220022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661109387840).

1332220022420 is an abundant number, since it is smaller than the sum of its proper divisors (1989998753260).

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

1332220022420 is a wasteful number, since it uses less digits than its factorization.

1332220022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73182 (or 73133 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 1332220022420 its reverse (242200222331), we get a palindrome (1574420244751).

The spelling of 1332220022420 in words is "one trillion, three hundred thirty-two billion, two hundred twenty million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 59 70 94 118 140 188 235 236 295 329 413 470 590 658 826 940 1180 1316 1645 1652 2065 2209 2773 3290 4130 4418 5546 6580 8260 8836 11045 11092 13865 15463 19411 22090 27730 30926 38822 44180 55460 61852 73013 77315 77644 97055 130331 146026 154630 194110 260662 292052 309260 365065 388220 511091 521324 651655 730130 912317 1022182 1303310 1460260 1824634 2044364 2555455 2606620 3431611 3649268 4307767 4561585 5110910 6863222 8615534 9123170 10221820 13726444 17158055 17231068 18246340 21538835 24021277 30154369 34316110 43077670 48042554 60308738 68632220 86155340 96085108 120106385 120617476 150771845 161285717 202465049 240212770 301543690 322571434 404930098 480425540 603087380 645142868 806428585 809860196 1012325245 1129000019 1417255343 1612857170 2024650490 2258000038 2834510686 3225714340 4049300980 4516000076 5645000095 5669021372 7086276715 9515857303 11290000190 14172553430 19031714606 22580000380 28345106860 38063429212 47579286515 66611001121 95158573030 133222002242 190317146060 266444004484 333055005605 666110011210 1332220022420