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452223864 = 2333191011091
BaseRepresentation
bin11010111101000…
…110001101111000
31011111221100112000
4122331012031320
51411232130424
6112512421000
714130560631
oct3275061570
91144840460
10452223864
112122a5534
12107547760
13728c7cb1
14440ba888
1529a7c3c9
hex1af46378

452223864 has 128 divisors (see below), whose sum is σ = 1336608000. Its totient is φ = 141264000.

The previous prime is 452223859. The next prime is 452223911. The reversal of 452223864 is 468322254.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 413959 + ... + 415049.

It is an arithmetic number, because the mean of its divisors is an integer number (10442250).

Almost surely, 2452223864 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 452223864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668304000).

452223864 is an abundant number, since it is smaller than the sum of its proper divisors (884384136).

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

452223864 is a wasteful number, since it uses less digits than its factorization.

452223864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1216 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 452223864 is about 21265.5558121578. Note that the first 3 decimals coincide. The cubic root of 452223864 is about 767.5697052487.

The spelling of 452223864 in words is "four hundred fifty-two million, two hundred twenty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 101 108 114 152 171 202 216 228 303 342 404 456 513 606 684 808 909 1026 1091 1212 1368 1818 1919 2052 2182 2424 2727 3273 3636 3838 4104 4364 5454 5757 6546 7272 7676 8728 9819 10908 11514 13092 15352 17271 19638 20729 21816 23028 26184 29457 34542 39276 41458 46056 51813 58914 62187 69084 78552 82916 103626 110191 117828 124374 138168 165832 186561 207252 220382 235656 248748 330573 373122 414504 440764 497496 559683 661146 746244 881528 991719 1119366 1322292 1492488 1983438 2093629 2238732 2644584 2975157 3966876 4187258 4477464 5950314 6280887 7933752 8374516 11900628 12561774 16749032 18842661 23801256 25123548 37685322 50247096 56527983 75370644 113055966 150741288 226111932 452223864