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22132002423400 = 2352239701660503
BaseRepresentation
bin1010000100001000000100…
…01001001000001001101000
32220100210120022011020202021
411002010002021020021220
510400102320110022100
6115023145045114224
74442661436431262
oct502040211101150
986323508136667
1022132002423400
11706314742a321
1225953b69b8974
13c4706753503c
145672a2102b32
15285a868b7a1a
hex142102248268

22132002423400 has 96 divisors (see below), whose sum is σ = 51745996972800. Its totient is φ = 8803170656000.

The previous prime is 22132002423343. The next prime is 22132002423403. The reversal of 22132002423400 is 432420023122.

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

It is not an unprimeable number, because it can be changed into a prime (22132002423403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33177549 + ... + 33838051.

It is an arithmetic number, because the mean of its divisors is an integer number (539020801800).

Almost surely, 222132002423400 is an apocalyptic number.

22132002423400 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 22132002423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25872998486400).

22132002423400 is an abundant number, since it is smaller than the sum of its proper divisors (29613994549400).

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

22132002423400 is a wasteful number, since it uses less digits than its factorization.

22132002423400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661459 (or 661450 counting only the distinct ones).

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

Adding to 22132002423400 its reverse (432420023122), we get a palindrome (22564422446522).

The spelling of 22132002423400 in words is "twenty-two trillion, one hundred thirty-two billion, two million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 239 478 701 956 1195 1402 1912 2390 2804 3505 4780 5608 5975 7010 9560 11950 14020 17525 23900 28040 35050 47800 70100 140200 167539 335078 660503 670156 837695 1321006 1340312 1675390 2642012 3302515 3350780 4188475 5284024 6605030 6701560 8376950 13210060 16512575 16753900 26420120 33025150 33507800 66050300 132100600 157860217 315720434 463012603 631440868 789301085 926025206 1262881736 1578602170 1852050412 2315063015 3157204340 3704100824 3946505425 4630126030 6314408680 7893010850 9260252060 11575315075 15786021700 18520504120 23150630150 31572043400 46301260300 92602520600 110660012117 221320024234 442640048468 553300060585 885280096936 1106600121170 2213200242340 2766500302925 4426400484680 5533000605850 11066001211700 22132002423400