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33223220000000 = 28571661161
BaseRepresentation
bin1111000110111011000100…
…01110011111010100000000
311100122002221022202221021122
413203131202032133110000
513323312123310000000
6154354311522011412
76666204235343312
oct743354216372400
9140562838687248
1033223220000000
11a649985620678
123886a711a6b68
13156cc22ab7b94
1482c02615d7b2
153c932b25c085
hex1e376239f500

33223220000000 has 144 divisors (see below), whose sum is σ = 82895664934992. Its totient is φ = 13289280000000.

The previous prime is 33223219999999. The next prime is 33223220000041. The reversal of 33223220000000 is 2232233.

It can be written as a sum of positive squares in 8 ways, for example, as 19543755572224 + 13679464427776 = 4420832^2 + 3698576^2 .

It is a super-2 number, since 2×332232200000002 (a number of 28 digits) contains 22 as substring.

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, 19169420 + ... + 20830580.

Almost surely, 233223220000000 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 33223220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41447832467496).

33223220000000 is an abundant number, since it is smaller than the sum of its proper divisors (49672444934992).

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

33223220000000 is an frugal number, since it uses more digits than its factorization.

33223220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661212 (or 1661168 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 33223220000000 its reverse (2232233), we get a palindrome (33223222232233).

The spelling of 33223220000000 in words is "thirty-three trillion, two hundred twenty-three billion, two hundred twenty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 78125 80000 100000 125000 156250 160000 200000 250000 312500 400000 500000 625000 800000 1000000 1250000 1661161 2000000 2500000 3322322 4000000 5000000 6644644 8305805 10000000 13289288 16611610 20000000 26578576 33223220 41529025 53157152 66446440 83058050 106314304 132892880 166116100 207645125 212628608 265785760 332232200 415290250 425257216 531571520 664464400 830580500 1038225625 1063143040 1328928800 1661161000 2076451250 2126286080 2657857600 3322322000 4152902500 5191128125 5315715200 6644644000 8305805000 10382256250 10631430400 13289288000 16611610000 20764512500 25955640625 26578576000 33223220000 41529025000 51911281250 53157152000 66446440000 83058050000 103822562500 129778203125 132892880000 166116100000 207645125000 259556406250 265785760000 332232200000 415290250000 519112812500 664464400000 830580500000 1038225625000 1328928800000 1661161000000 2076451250000 3322322000000 4152902500000 6644644000000 8305805000000 16611610000000 33223220000000