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226222316520 = 233513934938861
BaseRepresentation
bin1101001010101111100…
…1101001101111101000
3210121220211012101100120
43102223321221233220
512201300403112040
6251531453203240
722225666651254
oct3225371515750
9717824171316
10226222316520
1187a38666772
1237a15490520
1318442b617b5
14ad40927264
155d405de7d0
hex34abe69be8

226222316520 has 128 divisors (see below), whose sum is σ = 685525680000. Its totient is φ = 59718804480.

The previous prime is 226222316501. The next prime is 226222316543. The reversal of 226222316520 is 25613222622.

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, 5801890 + ... + 5840750.

It is an arithmetic number, because the mean of its divisors is an integer number (5355669375).

Almost surely, 2226222316520 is an apocalyptic number.

226222316520 is a gapful number since it is divisible by the number (20) 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 226222316520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342762840000).

226222316520 is an abundant number, since it is smaller than the sum of its proper divisors (459303363480).

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

226222316520 is a wasteful number, since it uses less digits than its factorization.

226222316520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39363 (or 39359 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 226222316520 in words is "two hundred twenty-six billion, two hundred twenty-two million, three hundred sixteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 349 417 556 695 698 834 1047 1112 1390 1396 1668 1745 2085 2094 2780 2792 3336 3490 4170 4188 5235 5560 6980 8340 8376 10470 13960 16680 20940 38861 41880 48511 77722 97022 116583 145533 155444 194044 194305 233166 242555 291066 310888 388088 388610 466332 485110 582132 582915 727665 777220 932664 970220 1164264 1165830 1455330 1554440 1940440 2331660 2910660 4663320 5401679 5821320 10803358 13562489 16205037 21606716 27008395 27124978 32410074 40687467 43213432 54016790 54249956 64820148 67812445 81025185 81374934 108033580 108499912 129640296 135624890 162050370 162749868 203437335 216067160 271249780 324100740 325499736 406874670 542499560 648201480 813749340 1627498680 1885185971 3770371942 5655557913 7540743884 9425929855 11311115826 15081487768 18851859710 22622231652 28277789565 37703719420 45244463304 56555579130 75407438840 113111158260 226222316520