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455226456 = 23329897349
BaseRepresentation
bin11011001000100…
…011010001011000
31011201120220022010
4123020203101120
51413014221311
6113101025520
714165234556
oct3310432130
91151526263
10455226456
11213a66413
121085552a0
1373409889
144465cbd6
1529e71da6
hex1b223458

455226456 has 64 divisors (see below), whose sum is σ = 1190700000. Its totient is φ = 144843776.

The previous prime is 455226451. The next prime is 455226461. The reversal of 455226456 is 654622554.

It is an interprime number because it is at equal distance from previous prime (455226451) and next prime (455226461).

It is a super-2 number, since 2×4552264562 = 414462252484639872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455226451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58270 + ... + 65618.

Almost surely, 2455226456 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 455226456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595350000).

455226456 is an abundant number, since it is smaller than the sum of its proper divisors (735473544).

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

455226456 is a wasteful number, since it uses less digits than its factorization.

455226456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7476 (or 7472 counting only the distinct ones).

The product of its digits is 288000, while the sum is 39.

The square root of 455226456 is about 21336.0365578989. The cubic root of 455226456 is about 769.2647481995.

The spelling of 455226456 in words is "four hundred fifty-five million, two hundred twenty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 89 116 174 178 232 267 348 356 534 696 712 1068 2136 2581 5162 7349 7743 10324 14698 15486 20648 22047 29396 30972 44094 58792 61944 88188 176376 213121 426242 639363 654061 852484 1278726 1308122 1704968 1962183 2557452 2616244 3924366 5114904 5232488 7848732 15697464 18967769 37935538 56903307 75871076 113806614 151742152 227613228 455226456