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22841212928 = 2142948073
BaseRepresentation
bin10101010001011100…
…010100000000000000
32011221211202211200012
4111101130110000000
5333234322303203
614254302244052
71436012051342
oct252134240000
964854684605
1022841212928
1197612a6386
124515586628
132200204811
141169797292
158da3e6bd8
hex551714000

22841212928 has 60 divisors (see below), whose sum is σ = 47257222740. Its totient is φ = 11026563072.

The previous prime is 22841212921. The next prime is 22841212939. The reversal of 22841212928 is 82921214822.

It can be written as a sum of positive squares in 2 ways, for example, as 15130968064 + 7710244864 = 123008^2 + 87808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22841212921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 451100 + ... + 499172.

It is an arithmetic number, because the mean of its divisors is an integer number (787620379).

Almost surely, 222841212928 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 22841212928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23628611370).

22841212928 is an abundant number, since it is smaller than the sum of its proper divisors (24416009812).

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

22841212928 is an frugal number, since it uses more digits than its factorization.

22841212928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48130 (or 48104 counting only the distinct ones).

The product of its digits is 73728, while the sum is 41.

The spelling of 22841212928 in words is "twenty-two billion, eight hundred forty-one million, two hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2048 3712 4096 7424 8192 14848 16384 29696 48073 59392 96146 118784 192292 237568 384584 475136 769168 1394117 1538336 2788234 3076672 5576468 6153344 11152936 12306688 22305872 24613376 44611744 49226752 89223488 98453504 178446976 196907008 356893952 393814016 713787904 787628032 1427575808 2855151616 5710303232 11420606464 22841212928