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1223211040 = 25561125329
BaseRepresentation
bin100100011101000…
…1011100000100000
310011020200120002121
41020322023200200
510001120223130
6321213354024
742212056642
oct11072134040
93136616077
101223211040
1157851a617
122a1798914
1316656031c
14b8652892
15725c2d7a
hex48e8b820

1223211040 has 48 divisors (see below), whose sum is σ = 2937233880. Its totient is φ = 481259520.

The previous prime is 1223211029. The next prime is 1223211043. The reversal of 1223211040 is 401123221.

It can be written as a sum of positive squares in 4 ways, for example, as 880664976 + 342546064 = 29676^2 + 18508^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1223211043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52905 + ... + 72424.

Almost surely, 21223211040 is an apocalyptic number.

1223211040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1223211040 is an abundant number, since it is smaller than the sum of its proper divisors (1714022840).

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

1223211040 is a wasteful number, since it uses less digits than its factorization.

1223211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125405 (or 125397 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1223211040 is about 34974.4340912044. The cubic root of 1223211040 is about 1069.4663656373.

Adding to 1223211040 its reverse (401123221), we get a palindrome (1624334261).

The spelling of 1223211040 in words is "one billion, two hundred twenty-three million, two hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 125329 250658 501316 626645 1002632 1253290 2005264 2506580 4010528 5013160 7645069 10026320 15290138 20052640 30580276 38225345 61160552 76450690 122321104 152901380 244642208 305802760 611605520 1223211040