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22321143400 = 2352293848473
BaseRepresentation
bin10100110010011100…
…011001111001101000
32010121121011120101211
4110302130121321220
5331203203042100
614130523322504
71420065405553
oct246234317150
963547146354
1022321143400
119514781456
1243ab380434
13214954377a
14111a69969a
158a99171ba
hex532719e68

22321143400 has 48 divisors (see below), whose sum is σ = 53686212300. Its totient is φ = 8620577280.

The previous prime is 22321143389. The next prime is 22321143407. The reversal of 22321143400 is 434112322.

It can be written as a sum of positive squares in 6 ways, for example, as 12583006276 + 9738137124 = 112174^2 + 98682^2 .

It is a super-3 number, since 3×223211434003 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22321143407) 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 11 ways as a sum of consecutive naturals, for example, 1918437 + ... + 1930036.

Almost surely, 222321143400 is an apocalyptic number.

22321143400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22321143400 is an abundant number, since it is smaller than the sum of its proper divisors (31365068900).

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

22321143400 is a wasteful number, since it uses less digits than its factorization.

22321143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848518 (or 3848509 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 22321143400 its reverse (434112322), we get a palindrome (22755255722).

The spelling of 22321143400 in words is "twenty-two billion, three hundred twenty-one million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 3848473 7696946 15393892 19242365 30787784 38484730 76969460 96211825 111605717 153938920 192423650 223211434 384847300 446422868 558028585 769694600 892845736 1116057170 2232114340 2790142925 4464228680 5580285850 11160571700 22321143400