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3342220000 = 2554723873
BaseRepresentation
bin1100011100110110…
…0011101011100000
322121220222100220221
43013031203223200
523321102020000
61311351212424
7145552254430
oct30715435340
98556870827
103342220000
111465661399
12793377114
13413575492
14239c4a2c0
1514864261a
hexc7363ae0

3342220000 has 120 divisors (see below), whose sum is σ = 9397379376. Its totient is φ = 1145856000.

The previous prime is 3342219997. The next prime is 3342220003. The reversal of 3342220000 is 222433.

3342220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3342219997) and next prime (3342220003).

It is a super-2 number, since 2×33422200002 = 22340869056800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342220003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 128064 + ... + 151936.

Almost surely, 23342220000 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 3342220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698689688).

3342220000 is an abundant number, since it is smaller than the sum of its proper divisors (6055159376).

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

3342220000 is an equidigital number, since it uses as much as digits as its factorization.

3342220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23910 (or 23887 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3342220000 is about 57811.9364837401. The cubic root of 3342220000 is about 1495.1278959050.

Adding to 3342220000 its reverse (222433), we get a palindrome (3342442433).

The spelling of 3342220000 in words is "three billion, three hundred forty-two million, two hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3500 4000 4375 5000 5600 7000 8750 10000 14000 17500 20000 23873 28000 35000 47746 70000 95492 119365 140000 167111 190984 238730 334222 381968 477460 596825 668444 763936 835555 954920 1193650 1336888 1671110 1909840 2387300 2673776 2984125 3342220 3819680 4177775 4774600 5347552 5968250 6684440 8355550 9549200 11936500 13368880 14920625 16711100 19098400 20888875 23873000 26737760 29841250 33422200 41777750 47746000 59682500 66844400 83555500 95492000 104444375 119365000 133688800 167111000 208888750 238730000 334222000 417777500 477460000 668444000 835555000 1671110000 3342220000