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314221204212224 = 2923179149068081
BaseRepresentation
bin100011101110010000101001…
…1010000100000101000000000
31112012120020211222121210222112
41013130201103100200220000
5312141200011234242344
63032143121201154452
7123120506236002311
oct10734412320405000
91465506758553875
10314221204212224
1191136512058841
122b2aa21162ba28
1310643c1769036a
14578455d176608
15264d93451ac9e
hex11dc853420a00

314221204212224 has 80 divisors (see below), whose sum is σ = 658785518867520. Its totient is φ = 149440153927680.

The previous prime is 314221204212191. The next prime is 314221204212259. The reversal of 314221204212224 is 422212402122413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72426137 + ... + 76641944.

It is an arithmetic number, because the mean of its divisors is an integer number (8234818985844).

Almost surely, 2314221204212224 is an apocalyptic number.

It is an amenable number.

314221204212224 is an abundant number, since it is smaller than the sum of its proper divisors (344564314655296).

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

314221204212224 is a wasteful number, since it uses less digits than its factorization.

314221204212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149068301 (or 149068285 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 314221204212224 its reverse (422212402122413), we get a palindrome (736433606334637).

The spelling of 314221204212224 in words is "three hundred fourteen trillion, two hundred twenty-one billion, two hundred four million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 179 184 256 358 368 512 716 736 1432 1472 2864 2944 4117 5728 5888 8234 11456 11776 16468 22912 32936 45824 65872 91648 131744 263488 526976 1053952 2107904 149068081 298136162 596272324 1192544648 2385089296 3428565863 4770178592 6857131726 9540357184 13714263452 19080714368 26683186499 27428526904 38161428736 53366372998 54857053808 76322857472 106732745996 109714107616 213465491992 219428215232 426930983984 438856430464 613713289477 853861967968 877712860928 1227426578954 1707723935936 1755425721856 2454853157908 3415447871872 4909706315816 6830895743744 9819412631632 13661791487488 19638825263264 39277650526528 78555301053056 157110602106112 314221204212224