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1146228736 = 212234
BaseRepresentation
bin100010001010010…
…0001000000000000
32221212211110020011
41010110201000000
54321413304421
6305423354304
740255532512
oct10424410000
92855743204
101146228736
1153901a684
1227ba52994
13153618673
14ac333bb2
156a9684e1
hex44521000

1146228736 has 65 divisors (see below), whose sum is σ = 2396367151. Its totient is φ = 548196352.

The previous prime is 1146228731. The next prime is 1146228739. The reversal of 1146228736 is 6378226411.

The square root of 1146228736 is 33856.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1146228731) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 49836021 + ... + 49836043.

Almost surely, 21146228736 is an apocalyptic number.

1146228736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1146228736 is the 33856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146228736

1146228736 is an abundant number, since it is smaller than the sum of its proper divisors (1250138415).

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

1146228736 is an frugal number, since it uses more digits than its factorization.

1146228736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 25 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The cubic root of 1146228736 is about 1046.5430485854.

The spelling of 1146228736 in words is "one billion, one hundred forty-six million, two hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 1024 1058 1472 2048 2116 2944 4096 4232 5888 8464 11776 12167 16928 23552 24334 33856 47104 48668 67712 94208 97336 135424 194672 270848 279841 389344 541696 559682 778688 1083392 1119364 1557376 2166784 2238728 3114752 4477456 6229504 8954912 12459008 17909824 24918016 35819648 49836032 71639296 143278592 286557184 573114368 1146228736