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22143234400 = 2552717232597
BaseRepresentation
bin10100100111110101…
…101111000101100000
32010011012101212010121
4110213311233011200
5330322132000100
614101130210024
71412505246460
oct244765570540
963135355117
1022143234400
119433307821
12435b883914
13211b722581
141100bc7ba0
15898ec351a
hex527d6f160

22143234400 has 144 divisors (see below), whose sum is σ = 65414000736. Its totient is φ = 7145349120.

The previous prime is 22143234371. The next prime is 22143234439. The reversal of 22143234400 is 443234122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21099 + ... + 211498.

It is an arithmetic number, because the mean of its divisors is an integer number (454263894).

Almost surely, 222143234400 is an apocalyptic number.

22143234400 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 22143234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32707000368).

22143234400 is an abundant number, since it is smaller than the sum of its proper divisors (43270766336).

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

22143234400 is a wasteful number, since it uses less digits than its factorization.

22143234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232641 (or 232628 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 22143234400 its reverse (443234122), we get a palindrome (22586468522).

The spelling of 22143234400 in words is "twenty-two billion, one hundred forty-three million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 68 70 80 85 100 112 119 136 140 160 170 175 200 224 238 272 280 340 350 400 425 476 544 560 595 680 700 800 850 952 1120 1190 1360 1400 1700 1904 2380 2720 2800 2975 3400 3808 4760 5600 5950 6800 9520 11900 13600 19040 23800 47600 95200 232597 465194 930388 1162985 1628179 1860776 2325970 3256358 3721552 3954149 4651940 5814925 6512716 7443104 7908298 8140895 9303880 11629850 13025432 15816596 16281790 18607760 19770745 23259700 26050864 27679043 31633192 32563580 37215520 39541490 40704475 46519400 52101728 55358086 63266384 65127160 79082980 81408950 93038800 98853725 110716172 126532768 130254320 138395215 158165960 162817900 186077600 197707450 221432344 260508640 276790430 316331920 325635800 395414900 442864688 553580860 632663840 651271600 691976075 790829800 885729376 1107161720 1302543200 1383952150 1581659600 2214323440 2767904300 3163319200 4428646880 5535808600 11071617200 22143234400