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21954532000 = 255322724179
BaseRepresentation
bin10100011100100101…
…111001001010100000
32002200001022210002211
4110130211321022200
5324430330011000
614030305451504
71405024304632
oct243445711240
962601283084
1021954532000
119346840925
124308640b94
1320bb5c264b
1410c3b06a52
1588764b7ba
hex51c9792a0

21954532000 has 96 divisors (see below), whose sum is σ = 54182157120. Its totient is φ = 8742764800.

The previous prime is 21954531953. The next prime is 21954532001. The reversal of 21954532000 is 23545912.

It is not an unprimeable number, because it can be changed into a prime (21954532001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895911 + ... + 920089.

It is an arithmetic number, because the mean of its divisors is an integer number (564397470).

Almost surely, 221954532000 is an apocalyptic number.

21954532000 is a gapful number since it is divisible by the number (20) 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 21954532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27091078560).

21954532000 is an abundant number, since it is smaller than the sum of its proper divisors (32227625120).

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

21954532000 is a wasteful number, since it uses less digits than its factorization.

21954532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24431 (or 24413 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 21954532000 in words is "twenty-one billion, nine hundred fifty-four million, five hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 227 250 400 454 500 800 908 1000 1135 1816 2000 2270 3632 4000 4540 5675 7264 9080 11350 18160 22700 24179 28375 36320 45400 48358 56750 90800 96716 113500 120895 181600 193432 227000 241790 386864 454000 483580 604475 773728 908000 967160 1208950 1934320 2417900 3022375 3868640 4835800 5488633 6044750 9671600 10977266 12089500 19343200 21954532 24179000 27443165 43909064 48358000 54886330 87818128 96716000 109772660 137215825 175636256 219545320 274431650 439090640 548863300 686079125 878181280 1097726600 1372158250 2195453200 2744316500 4390906400 5488633000 10977266000 21954532000