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21326772224 = 211191393943
BaseRepresentation
bin10011110111001011…
…001011100000000000
32001001022002021120202
4103313023023200000
5322134123202344
613444122424332
71353332400332
oct236713134000
961038067522
1021326772224
11905445269a
1241723620a8
13201b527664
1410645b5452
1584c49894e
hex4f72cb800

21326772224 has 96 divisors (see below), whose sum is σ = 45221904000. Its totient is φ = 10026934272.

The previous prime is 21326772197. The next prime is 21326772227. The reversal of 21326772224 is 42227762312.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21326772227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5406797 + ... + 5410739.

It is an arithmetic number, because the mean of its divisors is an integer number (471061500).

Almost surely, 221326772224 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 21326772224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22610952000).

21326772224 is an abundant number, since it is smaller than the sum of its proper divisors (23895131776).

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

21326772224 is a wasteful number, since it uses less digits than its factorization.

21326772224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4103 counting only the distinct ones).

The product of its digits is 112896, while the sum is 38.

The spelling of 21326772224 in words is "twenty-one billion, three hundred twenty-six million, seven hundred seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 139 152 256 278 304 512 556 608 1024 1112 1216 2048 2224 2432 2641 3943 4448 4864 5282 7886 8896 9728 10564 15772 17792 19456 21128 31544 35584 38912 42256 63088 71168 74917 84512 126176 142336 149834 169024 252352 284672 299668 338048 504704 548077 599336 676096 1009408 1096154 1198672 1352192 2018816 2192308 2397344 2704384 4037632 4384616 4794688 5408768 8075264 8769232 9589376 10413463 17538464 19178752 20826926 35076928 38357504 41653852 70153856 76715008 83307704 140307712 153430016 166615408 280615424 333230816 561230848 666461632 1122461696 1332923264 2665846528 5331693056 10663386112 21326772224