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228122319360 = 2935132284879
BaseRepresentation
bin1101010001110100100…
…1100101101000000000
3210210211020101112021010
43110131021211220000
512214143303204420
6252444205000520
722324040502165
oct3243511455000
9723736345233
10228122319360
1188823113a51
1238265853140
1318686696730
14b080dd206c
155e022ed4e0
hex351d265a00

228122319360 has 160 divisors (see below), whose sum is σ = 785377232640. Its totient is φ = 56153161728.

The previous prime is 228122319329. The next prime is 228122319361. The reversal of 228122319360 is 63913221822.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (228122319361) 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, 1042600 + ... + 1242279.

It is an arithmetic number, because the mean of its divisors is an integer number (4908607704).

Almost surely, 2228122319360 is an apocalyptic number.

228122319360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228122319360 is an abundant number, since it is smaller than the sum of its proper divisors (557254913280).

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

228122319360 is a wasteful number, since it uses less digits than its factorization.

228122319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284918 (or 2284902 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 228122319360 in words is "two hundred twenty-eight billion, one hundred twenty-two million, three hundred nineteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1920 2080 2496 2560 3120 3328 3840 4160 4992 6240 6656 7680 8320 9984 12480 16640 19968 24960 33280 49920 99840 2284879 4569758 6854637 9139516 11424395 13709274 18279032 22848790 27418548 29703427 34273185 36558064 45697580 54837096 59406854 68546370 73116128 89110281 91395160 109674192 118813708 137092740 146232256 148517135 178220562 182790320 219348384 237627416 274185480 292464512 297034270 356441124 365580640 438696768 445551405 475254832 548370960 584929024 594068540 712882248 731161280 877393536 891102810 950509664 1096741920 1169858048 1188137080 1425764496 1462322560 1754787072 1782205620 1901019328 2193483840 2376274160 2851528992 2924645120 3509574144 3564411240 3802038656 4386967680 4752548320 5703057984 5849290240 7128822480 7604077312 8773935360 9505096640 11406115968 14257644960 15208154624 17547870720 19010193280 22812231936 28515289920 38020386560 45624463872 57030579840 76040773120 114061159680 228122319360