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1223249664 = 28371323761
BaseRepresentation
bin100100011101001…
…0100111100000000
310011020202112002010
41020322110330000
510001122442124
6321214252520
742212310360
oct11072247400
93136675063
101223249664
1157854663a
122a17b7140
13166574a90
14b86629a0
15725ce529
hex48e94f00

1223249664 has 288 divisors, whose sum is σ = 4186635264. Its totient is φ = 308183040.

The previous prime is 1223249627. The next prime is 1223249717. The reversal of 1223249664 is 4669423221.

It is a super-2 number, since 2×12232496642 = 2992679480952225792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1607044 + ... + 1607804.

It is an arithmetic number, because the mean of its divisors is an integer number (14536928).

Almost surely, 21223249664 is an apocalyptic number.

1223249664 is a gapful number since it is divisible by the number (14) 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 1223249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093317632).

1223249664 is an abundant number, since it is smaller than the sum of its proper divisors (2963385600).

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

1223249664 is a wasteful number, since it uses less digits than its factorization.

1223249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 809 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 1223249664 is about 34974.9862616127. The cubic root of 1223249664 is about 1069.4776219762.

The spelling of 1223249664 in words is "one billion, two hundred twenty-three million, two hundred forty-nine thousand, six hundred sixty-four".