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21223505400 = 23352191861711
BaseRepresentation
bin10011110001000001…
…001111110111111000
32000210002202210010120
4103301001033313320
5321431204133100
613425553213240
71350636551016
oct236101176770
960702683116
1021223505400
11900112a809
124143861220
13200300bc26
1410549b38b6
1584339b0a0
hex4f104fdf8

21223505400 has 96 divisors (see below), whose sum is σ = 69255686400. Its totient is φ = 5361724800.

The previous prime is 21223505383. The next prime is 21223505411. The reversal of 21223505400 is 450532212.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919456 + ... + 942255.

It is an arithmetic number, because the mean of its divisors is an integer number (721413400).

Almost surely, 221223505400 is an apocalyptic number.

21223505400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21223505400 is an abundant number, since it is smaller than the sum of its proper divisors (48032181000).

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

21223505400 is a wasteful number, since it uses less digits than its factorization.

21223505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861749 (or 1861740 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 21223505400 in words is "twenty-one billion, two hundred twenty-three million, five hundred five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 1861711 3723422 5585133 7446844 9308555 11170266 14893688 18617110 22340532 27925665 35372509 37234220 44681064 46542775 55851330 70745018 74468440 93085550 106117527 111702660 139628325 141490036 176862545 186171100 212235054 223405320 279256650 282980072 353725090 372342200 424470108 530587635 558513300 707450180 848940216 884312725 1061175270 1117026600 1414900360 1768625450 2122350540 2652938175 3537250900 4244701080 5305876350 7074501800 10611752700 21223505400