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426866222500 = 22547321792
BaseRepresentation
bin1100011011000110011…
…01011010010110100100
31111210211001002212210121
412031203031122112210
523443210223110000
6524033304331324
742561100011214
oct6154315322644
91453731085717
10426866222500
1115503a943a73
126a890773b44
133133a6acc13
1416936340244
15b185355b1a
hex636335a5a4

426866222500 has 135 divisors (see below), whose sum is σ = 951750374421. Its totient is φ = 167466672000.

The previous prime is 426866222467. The next prime is 426866222501. The reversal of 426866222500 is 5222668624.

The square root of 426866222500 is 653350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 302770660516 + 124095561984 = 550246^2 + 352272^2 .

It is a super-3 number, since 3×4268662225003 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (426866222501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2384727411 + ... + 2384727589.

Almost surely, 2426866222500 is an apocalyptic number.

426866222500 is the 653350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426866222500

426866222500 is an abundant number, since it is smaller than the sum of its proper divisors (524884151921).

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

426866222500 is an frugal number, since it uses more digits than its factorization.

426866222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 426866222500 in words is "four hundred twenty-six billion, eight hundred sixty-six million, two hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 179 250 292 358 365 500 625 716 730 895 1250 1460 1790 1825 2500 3580 3650 4475 5329 7300 8950 9125 10658 13067 17900 18250 21316 22375 26134 26645 32041 36500 44750 45625 52268 53290 64082 65335 89500 91250 106580 111875 128164 130670 133225 160205 182500 223750 261340 266450 320410 326675 447500 532900 640820 653350 666125 801025 953891 1306700 1332250 1602050 1633375 1907782 2338993 2664500 3204100 3266750 3330625 3815564 4005125 4677986 4769455 6533500 6661250 8010250 8166875 9355972 9538910 11694965 13322500 16020500 16333750 19077820 20025625 23389930 23847275 32667500 40051250 46779860 47694550 58474825 80102500 95389100 116949650 119236375 170746489 233899300 238472750 292374125 341492978 476945500 584748250 596181875 682985956 853732445 1169496500 1192363750 1461870625 1707464890 2384727500 2923741250 3414929780 4268662225 5847482500 8537324450 17074648900 21343311125 42686622250 85373244500 106716555625 213433111250 426866222500