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1220000000 = 285761
BaseRepresentation
bin100100010110111…
…1011100100000000
310011000122102101012
41020231323210000
54444310000000
6321020500052
742142554212
oct11055734400
93130572335
101220000000
1157672706a
122a06aa628
131659a78bb
14b80585b2
157218b735
hex48b7b900

1220000000 has 144 divisors (see below), whose sum is σ = 3093937392. Its totient is φ = 480000000.

The previous prime is 1219999993. The next prime is 1220000027. The reversal of 1220000000 is 221.

It can be written as a sum of positive squares in 8 ways, for example, as 593799424 + 626200576 = 24368^2 + 25024^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a nialpdrome in base 5.

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, 19999970 + ... + 20000030.

Almost surely, 21220000000 is an apocalyptic number.

1220000000 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 1220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546968696).

1220000000 is an abundant number, since it is smaller than the sum of its proper divisors (1873937392).

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

1220000000 is an frugal number, since it uses more digits than its factorization.

1220000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 1220000000 is about 34928.4983931460. The cubic root of 1220000000 is about 1068.5297301489.

Adding to 1220000000 its reverse (221), we get a palindrome (1220000221).

The spelling of 1220000000 in words is "one 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 61 64 80 100 122 125 128 160 200 244 250 256 305 320 400 488 500 610 625 640 800 976 1000 1220 1250 1280 1525 1600 1952 2000 2440 2500 3050 3125 3200 3904 4000 4880 5000 6100 6250 6400 7625 7808 8000 9760 10000 12200 12500 15250 15616 15625 16000 19520 20000 24400 25000 30500 31250 32000 38125 39040 40000 48800 50000 61000 62500 76250 78080 78125 80000 97600 100000 122000 125000 152500 156250 160000 190625 195200 200000 244000 250000 305000 312500 381250 390400 400000 488000 500000 610000 625000 762500 800000 953125 976000 1000000 1220000 1250000 1525000 1906250 1952000 2000000 2440000 2500000 3050000 3812500 4000000 4765625 4880000 5000000 6100000 7625000 9531250 9760000 10000000 12200000 15250000 19062500 20000000 24400000 30500000 38125000 48800000 61000000 76250000 122000000 152500000 244000000 305000000 610000000 1220000000