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226222425 = 325211137989
BaseRepresentation
bin11010111101111…
…10000101011001
3120202200021211100
431132332011121
5430403104200
634240422013
75414600412
oct1536760531
9522607740
10226222425
11106773290
1263917909
1337b38a30
142208a809
1514cd8d00
hexd7be159

226222425 has 144 divisors (see below), whose sum is σ = 487468800. Its totient is φ = 98841600.

The previous prime is 226222369. The next prime is 226222427. The reversal of 226222425 is 524222622.

It is not a de Polignac number, because 226222425 - 29 = 226221913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (226222427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2541781 + ... + 2541869.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2226222425 is an apocalyptic number.

226222425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

226222425 is an abundant number, since it is smaller than the sum of its proper divisors (261246375).

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

226222425 is a wasteful number, since it uses less digits than its factorization.

226222425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 226222425 is about 15040.6923045450. The cubic root of 226222425 is about 609.3196975454.

The spelling of 226222425 in words is "two hundred twenty-six million, two hundred twenty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 65 75 79 89 99 117 143 165 195 225 237 267 275 325 395 429 445 495 585 711 715 801 825 869 975 979 1027 1157 1185 1287 1335 1975 2145 2225 2475 2607 2925 2937 3081 3471 3555 3575 4005 4345 4895 5135 5785 5925 6435 6675 7031 7821 8811 9243 10413 10725 11297 12727 13035 14685 15405 17355 17775 20025 21093 21725 24475 25675 28925 32175 33891 35155 38181 39105 44055 46215 52065 56485 63279 63635 65175 73425 77025 77341 86775 91403 101673 105465 114543 169455 175775 190905 195525 220275 231075 232023 260325 274209 282425 316395 318175 386705 457015 508365 527325 572715 696069 822627 847275 954525 1005433 1160115 1371045 1581975 1933525 2285075 2541825 2863575 3016299 3480345 4113135 5027165 5800575 6855225 9048897 15081495 17401725 20565675 25135825 45244485 75407475 226222425