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226450250432 = 26713717332129
BaseRepresentation
bin1101001011100101111…
…1001001101011000000
3210122111201002121220022
43102321133021223000
512202232231003212
6252010234433012
722234435240520
oct3227137115300
9718451077808
10226450250432
11880452988aa
1237a79892768
131847b149533
14ad62cdb680
155d55615772
hex34b97c9ac0

226450250432 has 112 divisors (see below), whose sum is σ = 517847031360. Its totient is φ = 96240893952.

The previous prime is 226450250423. The next prime is 226450250491. The reversal of 226450250432 is 234052054622.

226450250432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 226450250392 and 226450250401.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 106363544 + ... + 106365672.

Almost surely, 2226450250432 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 226450250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258923515680).

226450250432 is an abundant number, since it is smaller than the sum of its proper divisors (291396780928).

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

226450250432 is a wasteful number, since it uses less digits than its factorization.

226450250432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 226450250432 in words is "two hundred twenty-six billion, four hundred fifty million, two hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 137 224 274 448 548 959 1096 1733 1918 2129 2192 3466 3836 4258 4384 6932 7672 8516 8768 12131 13864 14903 15344 17032 24262 27728 29806 30688 34064 48524 55456 59612 61376 68128 97048 110912 119224 136256 194096 237421 238448 291673 388192 474842 476896 583346 776384 949684 953792 1166692 1661947 1899368 2041711 2333384 3323894 3689557 3798736 4083422 4666768 6647788 7379114 7597472 8166844 9333536 13295576 14758228 15194944 16333688 18667072 25826899 26591152 29516456 32667376 51653798 53182304 59032912 65334752 103307596 106364608 118065824 130669504 206615192 236131648 413230384 505469309 826460768 1010938618 1652921536 2021877236 3538285163 4043754472 7076570326 8087508944 14153140652 16175017888 28306281304 32350035776 56612562608 113225125216 226450250432