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2228857965312 = 28311279794327
BaseRepresentation
bin100000011011110010010…
…010011000101100000000
321220002001221111001202120
4200123302102120230000
5243004200114342222
64423531225244240
7320013115053516
oct40336222305400
97802057431676
102228857965312
1178a2872404a0
122bbb74033680
1313224646ac64
1479c3d4584b6
153ce9eb9015c
hex206f2498b00

2228857965312 has 144 divisors (see below), whose sum is σ = 6473668760832. Its totient is φ = 675162869760.

The previous prime is 2228857965307. The next prime is 2228857965319. The reversal of 2228857965312 is 2135697588222.

It is not an unprimeable number, because it can be changed into a prime (2228857965319) 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, 23581893 + ... + 23676219.

Almost surely, 22228857965312 is an apocalyptic number.

2228857965312 is a gapful number since it is divisible by the number (22) 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 2228857965312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236834380416).

2228857965312 is an abundant number, since it is smaller than the sum of its proper divisors (4244810795520).

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

2228857965312 is a wasteful number, since it uses less digits than its factorization.

2228857965312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97154 (or 97140 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 60.

The spelling of 2228857965312 in words is "two trillion, two hundred twenty-eight billion, eight hundred fifty-seven million, nine hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2797 2816 4224 5594 8391 8448 11188 16782 22376 30767 33564 44752 61534 67128 89504 92301 94327 123068 134256 179008 184602 188654 246136 268512 282981 358016 369204 377308 492272 537024 565962 716032 738408 754616 984544 1037597 1074048 1131924 1476816 1509232 1969088 2075194 2148096 2263848 2953632 3018464 3112791 3938176 4150388 4527696 5907264 6036928 6225582 7876352 8300776 9055392 11814528 12073856 12451164 16601552 18110784 23629056 24147712 24902328 33203104 36221568 49804656 66406208 72443136 99609312 132812416 199218624 263832619 265624832 398437248 527665238 791497857 796874496 1055330476 1582995714 2110660952 2902158809 3165991428 4221321904 5804317618 6331982856 8442643808 8706476427 11608635236 12663965712 16885287616 17412952854 23217270472 25327931424 33770575232 34825905708 46434540944 50655862848 67541150464 69651811416 92869081888 101311725696 139303622832 185738163776 202623451392 278607245664 371476327552 557214491328 742952655104 1114428982656 2228857965312