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455314420 = 2251116312697
BaseRepresentation
bin11011001000111…
…000101111110100
31011201202100222001
4123020320233310
51413030030140
6113102545044
714166052201
oct3310705764
91151670861
10455314420
11214016510
12108598184
137343a922
1444682ca8
1529e8ce9a
hex1b238bf4

455314420 has 48 divisors (see below), whose sum is σ = 1049565888. Its totient is φ = 164540160.

The previous prime is 455314397. The next prime is 455314421. The reversal of 455314420 is 24413554.

It is a super-2 number, since 2×4553144202 = 414622442119872800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455314421) 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, 29512 + ... + 42208.

It is an arithmetic number, because the mean of its divisors is an integer number (21865956).

Almost surely, 2455314420 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 455314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524782944).

455314420 is an abundant number, since it is smaller than the sum of its proper divisors (594251468).

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

455314420 is a wasteful number, since it uses less digits than its factorization.

455314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12880 (or 12878 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 455314420 is about 21338.0978533702. The cubic root of 455314420 is about 769.3142936843.

Adding to 455314420 its reverse (24413554), we get a palindrome (479727974).

The spelling of 455314420 in words is "four hundred fifty-five million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 326 652 815 1630 1793 3260 3586 7172 8965 12697 17930 25394 35860 50788 63485 126970 139667 253940 279334 558668 698335 1396670 2069611 2793340 4139222 8278444 10348055 20696110 22765721 41392220 45531442 91062884 113828605 227657210 455314420