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1421224224 = 25372431701
BaseRepresentation
bin101010010110110…
…0010100100100000
310200001021200010020
41110231202210200
510402313133344
6353005433440
750135130600
oct12455424440
93601250106
101421224224
1166a275882
12337b6b880
131985a01a4
14d6a78c00
1584b88719
hex54b62920

1421224224 has 144 divisors (see below), whose sum is σ = 4356084096. Its totient is φ = 404544000.

The previous prime is 1421224223. The next prime is 1421224241. The reversal of 1421224224 is 4224221241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1421224194 and 1421224203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1421224223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2027074 + ... + 2027774.

It is an arithmetic number, because the mean of its divisors is an integer number (30250584).

Almost surely, 21421224224 is an apocalyptic number.

1421224224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1421224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178042048).

1421224224 is an abundant number, since it is smaller than the sum of its proper divisors (2934859872).

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

1421224224 is a wasteful number, since it uses less digits than its factorization.

1421224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1144 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 1421224224 is about 37699.1276291640. The cubic root of 1421224224 is about 1124.3137804233.

Adding to 1421224224 its reverse (4224221241), we get a palindrome (5645445465).

The spelling of 1421224224 in words is "one billion, four hundred twenty-one million, two hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 431 588 672 701 784 862 1176 1293 1402 1568 1724 2103 2352 2586 2804 3017 3448 4206 4704 4907 5172 5608 6034 6896 8412 9051 9814 10344 11216 12068 13792 14721 16824 18102 19628 20688 21119 22432 24136 29442 33648 34349 36204 39256 41376 42238 48272 58884 63357 67296 68698 72408 78512 84476 96544 103047 117768 126714 137396 144816 157024 168952 206094 235536 253428 274792 289632 302131 337904 412188 471072 506856 549584 604262 675808 824376 906393 1013712 1099168 1208524 1648752 1812786 2027424 2114917 2417048 3297504 3625572 4229834 4834096 6344751 7251144 8459668 9668192 12689502 14502288 14804419 16919336 25379004 29004576 29608838 33838672 44413257 50758008 59217676 67677344 88826514 101516016 118435352 177653028 203032032 236870704 355306056 473741408 710612112 1421224224