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1220222000 = 24533119681
BaseRepresentation
bin100100010111011…
…0001110000110000
310011001001200220102
41020232301300300
54444334101000
6321025331532
742144500354
oct11056616060
93131050812
101220222000
11576868938
122a0796ba8
13165a5496a
14b80b5464
15721d23d5
hex48bb1c30

1220222000 has 80 divisors (see below), whose sum is σ = 3045828864. Its totient is φ = 472320000.

The previous prime is 1220221997. The next prime is 1220222041. The reversal of 1220222000 is 2220221.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52160 + ... + 71840.

Almost surely, 21220222000 is an apocalyptic number.

1220222000 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 1220222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522914432).

1220222000 is an abundant number, since it is smaller than the sum of its proper divisors (1825606864).

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

1220222000 is a wasteful number, since it uses less digits than its factorization.

1220222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19735 (or 19719 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1220222000 is about 34931.6761693452. The cubic root of 1220222000 is about 1068.5945386771.

Adding to 1220222000 its reverse (2220221), we get a palindrome (1222442221).

The spelling of 1220222000 in words is "one billion, two hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 6200 7750 12400 15500 19681 31000 39362 62000 78724 98405 157448 196810 314896 393620 492025 610111 787240 984050 1220222 1574480 1968100 2440444 2460125 3050555 3936200 4880888 4920250 6101110 7872400 9761776 9840500 12202220 15252775 19681000 24404440 30505550 39362000 48808880 61011100 76263875 122022200 152527750 244044400 305055500 610111000 1220222000