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1225002048 = 263171919753
BaseRepresentation
bin100100100000100…
…0000110001000000
310011101001112220020
41021001000301000
510002100031143
6321320013440
742233226354
oct11101006100
93141045806
101225002048
11579533196
122a2301280
13166a395aa
14b899b464
1572828883
hex49040c40

1225002048 has 112 divisors (see below), whose sum is σ = 3612611520. Its totient is φ = 364068864.

The previous prime is 1225002047. The next prime is 1225002083. The reversal of 1225002048 is 8402005221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1225002041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52140 + ... + 71892.

It is an arithmetic number, because the mean of its divisors is an integer number (32255460).

Almost surely, 21225002048 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 1225002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806305760).

1225002048 is an abundant number, since it is smaller than the sum of its proper divisors (2387609472).

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

1225002048 is a wasteful number, since it uses less digits than its factorization.

1225002048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19804 (or 19794 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1225002048 is about 35000.0292571306. The cubic root of 1225002048 is about 1069.9880768462.

Adding to 1225002048 its reverse (8402005221), we get a palindrome (9627007269).

The spelling of 1225002048 in words is "one billion, two hundred twenty-five million, two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 136 152 192 204 228 272 304 323 408 456 544 608 646 816 912 969 1088 1216 1292 1632 1824 1938 2584 3264 3648 3876 5168 7752 10336 15504 19753 20672 31008 39506 59259 62016 79012 118518 158024 237036 316048 335801 375307 474072 632096 671602 750614 948144 1007403 1125921 1264192 1343204 1501228 1896288 2014806 2251842 2686408 3002456 3792576 4029612 4503684 5372816 6004912 6380219 8059224 9007368 10745632 12009824 12760438 16118448 18014736 19140657 21491264 24019648 25520876 32236896 36029472 38281314 51041752 64473792 72058944 76562628 102083504 153125256 204167008 306250512 408334016 612501024 1225002048