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1220050000 = 2455131877
BaseRepresentation
bin100100010111000…
…0111110001010000
310011000201221222001
41020232013301100
54444313100000
6321021523344
742143153041
oct11056076120
93130657861
101220050000
11576760694
122a0713554
131659c45a0
14b806c8c8
157219b46a
hex48b87c50

1220050000 has 120 divisors (see below), whose sum is σ = 3183593112. Its totient is φ = 450240000.

The previous prime is 1220049979. The next prime is 1220050031. The reversal of 1220050000 is 500221.

It can be written as a sum of positive squares in 12 ways, for example, as 1209370176 + 10679824 = 34776^2 + 3268^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 649062 + ... + 650938.

Almost surely, 21220050000 is an apocalyptic number.

1220050000 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 1220050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591796556).

1220050000 is an abundant number, since it is smaller than the sum of its proper divisors (1963543112).

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

1220050000 is an equidigital number, since it uses as much as digits as its factorization.

1220050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1220050000 is about 34929.2141337305. The cubic root of 1220050000 is about 1068.5443273501.

Adding to 1220050000 its reverse (500221), we get a palindrome (1220550221).

The spelling of 1220050000 in words is "one billion, two hundred twenty million, fifty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 1877 2000 2500 2600 3125 3250 3754 5000 5200 6250 6500 7508 8125 9385 10000 12500 13000 15016 16250 18770 24401 25000 26000 30032 32500 37540 40625 46925 48802 50000 65000 75080 81250 93850 97604 122005 130000 150160 162500 187700 195208 234625 244010 325000 375400 390416 469250 488020 610025 650000 750800 938500 976040 1173125 1220050 1877000 1952080 2346250 2440100 3050125 3754000 4692500 4880200 5865625 6100250 9385000 9760400 11731250 12200500 15250625 18770000 23462500 24401000 30501250 46925000 48802000 61002500 76253125 93850000 122005000 152506250 244010000 305012500 610025000 1220050000