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1253220000 = 2535420887
BaseRepresentation
bin100101010110010…
…1001111010100000
310020100011011122120
41022230221322200
510031311020000
6324204504240
743025123424
oct11254517240
93210134576
101253220000
1159345680a
122ab84b080
1316c8393c6
14bc624b84
157504e6a0
hex4ab29ea0

1253220000 has 120 divisors (see below), whose sum is σ = 4111009056. Its totient is φ = 334176000.

The previous prime is 1253219983. The next prime is 1253220029. The reversal of 1253220000 is 223521.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49557 + ... + 70443.

Almost surely, 21253220000 is an apocalyptic number.

1253220000 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 1253220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055504528).

1253220000 is an abundant number, since it is smaller than the sum of its proper divisors (2857789056).

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

1253220000 is an equidigital number, since it uses as much as digits as its factorization.

1253220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20920 (or 20897 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1253220000 is about 35400.8474474835. The cubic root of 1253220000 is about 1078.1415225361.

Adding to 1253220000 its reverse (223521), we get a palindrome (1253443521).

The spelling of 1253220000 in words is "one billion, two hundred fifty-three million, two hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 20887 30000 41774 60000 62661 83548 104435 125322 167096 208870 250644 313305 334192 417740 501288 522175 626610 668384 835480 1002576 1044350 1253220 1566525 1670960 2005152 2088700 2506440 2610875 3133050 3341920 4177400 5012880 5221750 6266100 7832625 8354800 10025760 10443500 12532200 13054375 15665250 16709600 20887000 25064400 26108750 31330500 39163125 41774000 50128800 52217500 62661000 78326250 83548000 104435000 125322000 156652500 208870000 250644000 313305000 417740000 626610000 1253220000