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2230861678368 = 253234124642781
BaseRepresentation
bin100000011101101001101…
…101111100011100100000
321220021020120211020100020
4200131221231330130200
5243022301042201433
64424502123553440
7320113555251531
oct40355155743440
97807216736306
102230861678368
117901152937a4
1230043308b880
131324a561539b
1479d8d5dc688
153d06aa37cb3
hex20769b7c720

2230861678368 has 96 divisors (see below), whose sum is σ = 6259660912512. Its totient is φ = 693940684800.

The previous prime is 2230861678273. The next prime is 2230861678369. The reversal of 2230861678368 is 8638761680322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×22308616783683 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2230861678369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12230863 + ... + 12411918.

It is an arithmetic number, because the mean of its divisors is an integer number (65204801172).

Almost surely, 22230861678368 is an apocalyptic number.

It is an amenable number.

2230861678368 is an abundant number, since it is smaller than the sum of its proper divisors (4028799234144).

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

2230861678368 is a wasteful number, since it uses less digits than its factorization.

2230861678368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24642858 (or 24642850 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 2230861678368 in words is "two trillion, two hundred thirty billion, eight hundred sixty-one million, six hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 69 82 92 96 123 138 164 184 246 276 328 368 492 552 656 736 943 984 1104 1312 1886 1968 2208 2829 3772 3936 5658 7544 11316 15088 22632 30176 45264 90528 24642781 49285562 73928343 98571124 147856686 197142248 295713372 394284496 566783963 591426744 788568992 1010354021 1133567926 1182853488 1700351889 2020708042 2267135852 2365706976 3031062063 3400703778 4041416084 4534271704 6062124126 6801407556 8082832168 9068543408 12124248252 13602815112 16165664336 18137086816 23238142483 24248496504 27205630224 32331328672 46476284966 48496993008 54411260448 69714427449 92952569932 96993986016 139428854898 185905139864 278857709796 371810279728 557715419592 743620559456 1115430839184 2230861678368