Search a number
-
+
21996838224 = 24355657623
BaseRepresentation
bin10100011111000111…
…010001110101010000
32002202222221011100000
4110133013101311100
5330022142310344
614034420330000
71406050016454
oct243707216520
962688834300
1021996838224
119368707149
12431a843900
1320c72b5b0a
1410c959a664
1588b206a69
hex51f1d1d50

21996838224 has 60 divisors (see below), whose sum is σ = 63840629216. Its totient is φ = 7332278112.

The previous prime is 21996838207. The next prime is 21996838247. The reversal of 21996838224 is 42283869912.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2824924 + ... + 2832699.

Almost surely, 221996838224 is an apocalyptic number.

21996838224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21996838224 is an abundant number, since it is smaller than the sum of its proper divisors (41843790992).

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

21996838224 is an equidigital number, since it uses as much as digits as its factorization.

21996838224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5657646 (or 5657628 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 21996838224 in words is "twenty-one billion, nine hundred ninety-six million, eight hundred thirty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 5657623 11315246 16972869 22630492 33945738 45260984 50918607 67891476 90521968 101837214 135782952 152755821 203674428 271565904 305511642 407348856 458267463 611023284 814697712 916534926 1222046568 1374802389 1833069852 2444093136 2749604778 3666139704 5499209556 7332279408 10998419112 21996838224