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1228675440 = 243534914669
BaseRepresentation
bin100100100111100…
…0001100101110000
310011121222011211210
41021033001211300
510004020103230
6321530440120
742306366066
oct11117014560
93147864753
101228675440
11580612053
122a3593040
131677245b5
14b9276036
1572d01eb0
hex493c1970

1228675440 has 80 divisors (see below), whose sum is σ = 3820068000. Its totient is φ = 326685696.

The previous prime is 1228675397. The next prime is 1228675447. The reversal of 1228675440 is 445768221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228675447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76426 + ... + 91094.

It is an arithmetic number, because the mean of its divisors is an integer number (47750850).

Almost surely, 21228675440 is an apocalyptic number.

1228675440 is a gapful number since it is divisible by the number (10) 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 1228675440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910034000).

1228675440 is an abundant number, since it is smaller than the sum of its proper divisors (2591392560).

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

1228675440 is a wasteful number, since it uses less digits than its factorization.

1228675440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15034 (or 15028 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 1228675440 is about 35052.4669602583. The cubic root of 1228675440 is about 1071.0565276897.

The spelling of 1228675440 in words is "one billion, two hundred twenty-eight million, six hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 349 698 1047 1396 1745 2094 2792 3490 4188 5235 5584 6980 8376 10470 13960 14669 16752 20940 27920 29338 41880 44007 58676 73345 83760 88014 117352 146690 176028 220035 234704 293380 352056 440070 586760 704112 880140 1173520 1760280 3520560 5119481 10238962 15358443 20477924 25597405 30716886 40955848 51194810 61433772 76792215 81911696 102389620 122867544 153584430 204779240 245735088 307168860 409558480 614337720 1228675440