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1223249152 = 289749261
BaseRepresentation
bin100100011101001…
…0100110100000000
310011020202111101011
41020322110310000
510001122433102
6321214250304
742212306026
oct11072246400
93136674334
101223249152
11578546214
122a17b6994
13166574788
14b8662716
15725ce2d7
hex48e94d00

1223249152 has 36 divisors (see below), whose sum is σ = 2466942436. Its totient is φ = 605306880.

The previous prime is 1223249143. The next prime is 1223249173. The reversal of 1223249152 is 2519423221.

It can be written as a sum of positive squares in 2 ways, for example, as 453519616 + 769729536 = 21296^2 + 27744^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 202 + ... + 49462.

Almost surely, 21223249152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233471218).

1223249152 is an abundant number, since it is smaller than the sum of its proper divisors (1243693284).

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

1223249152 is an frugal number, since it uses more digits than its factorization.

1223249152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49374 (or 49360 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 1223249152 is about 34974.9789420952. The cubic root of 1223249152 is about 1069.4774727636.

The spelling of 1223249152 in words is "one billion, two hundred twenty-three million, two hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 776 1552 3104 6208 12416 24832 49261 98522 197044 394088 788176 1576352 3152704 4778317 6305408 9556634 12610816 19113268 38226536 76453072 152906144 305812288 611624576 1223249152