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2212698164656 = 247178346330241
BaseRepresentation
bin100000001100101111000…
…101101000110110110000
321211112100201222010200011
4200030233011220312300
5242223101212232111
64412255520504304
7315601503034210
oct40145705506660
97745321863604
102212698164656
1178344447a041
122b8a0417b094
1313086c563c35
14791491aa240
153c856131021
hex2032f168db0

2212698164656 has 160 divisors (see below), whose sum is σ = 5261771225088. Its totient is φ = 879830138880.

The previous prime is 2212698164609. The next prime is 2212698164669. The reversal of 2212698164656 is 6564618962122.

It is a self number, because there is not a number n which added to its sum of digits gives 2212698164656.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73153696 + ... + 73183936.

Almost surely, 22212698164656 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 2212698164656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630885612544).

2212698164656 is an abundant number, since it is smaller than the sum of its proper divisors (3049073060432).

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

2212698164656 is a wasteful number, since it uses less digits than its factorization.

2212698164656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30819 (or 30813 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 58.

The spelling of 2212698164656 in words is "two trillion, two hundred twelve billion, six hundred ninety-eight million, one hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 83 112 119 136 166 238 272 332 463 476 581 664 926 952 1162 1328 1411 1852 1904 2324 2822 3241 3704 4648 5644 6482 7408 7871 9296 9877 11288 12964 15742 19754 22576 25928 30241 31484 38429 39508 51856 55097 60482 62968 76858 79016 110194 120964 125936 153716 158032 211687 220388 241928 269003 307432 423374 440776 483856 514097 538006 614864 653293 846748 881552 1028194 1076012 1306586 1693496 2056388 2152024 2510003 2613172 3386992 3598679 4112776 4304048 4573051 5020006 5226344 7197358 8225552 9146102 10040012 10452688 14001583 14394716 17570021 18292204 20080024 28003166 28789432 35140042 36584408 40160048 42670051 56006332 57578864 70280084 73168816 85340102 98011081 112012664 140560168 170680204 196022162 224025328 238026911 281120336 298690357 341360408 392044324 476053822 597380714 682720816 784088648 952107644 1162131389 1194761428 1568177296 1666188377 1904215288 2324262778 2389522856 3332376754 3808430576 4648525556 4779045712 6664753508 8134919723 9297051112 13329507016 16269839446 18594102224 19756233613 26659014032 32539678892 39512467226 65079357784 79024934452 130158715568 138293635291 158049868904 276587270582 316099737808 553174541164 1106349082328 2212698164656