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1228391424 = 210321310253
BaseRepresentation
bin100100100110111…
…1100010000000000
310011121102202020200
41021031330100000
510003432011144
6321520405200
742304104051
oct11115742000
93147382220
101228391424
11580438727
122a3476800
13167655240
14b9200728
1572c97c69
hex4937c400

1228391424 has 132 divisors (see below), whose sum is σ = 3820168716. Its totient is φ = 377929728.

The previous prime is 1228391347. The next prime is 1228391471. The reversal of 1228391424 is 4241938221.

1228391424 is a `hidden beast` number, since 1 + 228 + 3 + 9 + 1 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 163021824 + 1065369600 = 12768^2 + 32640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 114682 + ... + 124934.

Almost surely, 21228391424 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 1228391424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910084358).

1228391424 is an abundant number, since it is smaller than the sum of its proper divisors (2591777292).

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

1228391424 is a wasteful number, since it uses less digits than its factorization.

1228391424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10292 (or 10271 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1228391424 is about 35048.4154278050. The cubic root of 1228391424 is about 1070.9739941952.

The spelling of 1228391424 in words is "one billion, two hundred twenty-eight million, three hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2304 2496 3072 3328 3744 4608 4992 6656 7488 9216 9984 10253 13312 14976 19968 20506 29952 30759 39936 41012 59904 61518 82024 92277 119808 123036 133289 164048 184554 246072 266578 328096 369108 399867 492144 533156 656192 738216 799734 984288 1066312 1199601 1312384 1476432 1599468 1968576 2132624 2399202 2624768 2952864 3198936 3937152 4265248 4798404 5249536 5905728 6397872 7874304 8530496 9596808 10499072 11811456 12795744 15748608 17060992 19193616 23622912 25591488 31497216 34121984 38387232 47245824 51182976 68243968 76774464 94491648 102365952 136487936 153548928 204731904 307097856 409463808 614195712 1228391424