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21323140224 = 273267720743
BaseRepresentation
bin10011110110111101…
…010100110010000000
32001001001020202102020
4103312331110302000
5322132210441344
613443512521440
71353256462401
oct236675246200
961031222366
1021323140224
1190523a1941
1241710b0280
13201a855449
141063d0b9a8
1584becc719
hex4f6f54c80

21323140224 has 64 divisors (see below), whose sum is σ = 56663480640. Its totient is φ = 7104715776.

The previous prime is 21323140187. The next prime is 21323140229. The reversal of 21323140224 is 42204132312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 21323140194 and 21323140203.

It is not an unprimeable number, because it can be changed into a prime (21323140229) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1017597 + ... + 1038339.

It is an arithmetic number, because the mean of its divisors is an integer number (885366885).

Almost surely, 221323140224 is an apocalyptic number.

21323140224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21323140224 is an abundant number, since it is smaller than the sum of its proper divisors (35340340416).

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

21323140224 is a wasteful number, since it uses less digits than its factorization.

21323140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23437 (or 23425 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21323140224 its reverse (42204132312), we get a palindrome (63527272536).

The spelling of 21323140224 in words is "twenty-one billion, three hundred twenty-three million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2677 5354 8031 10708 16062 20743 21416 32124 41486 42832 62229 64248 82972 85664 124458 128496 165944 171328 248916 256992 331888 342656 497832 513984 663776 995664 1027968 1327552 1991328 2655104 3982656 7965312 55529011 111058022 166587033 222116044 333174066 444232088 666348132 888464176 1332696264 1776928352 2665392528 3553856704 5330785056 7107713408 10661570112 21323140224