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22134215400 = 23352112304879
BaseRepresentation
bin10100100111010011…
…010101001011101000
32010010120102122101120
4110213103111023220
5330312324343100
614100205015240
71412335504143
oct244723251350
963116378346
1022134215400
119429207700
124358854520
1321198b539b
1410dd91b05a
158982e10a0
hex5274d52e8

22134215400 has 144 divisors (see below), whose sum is σ = 75421214400. Its totient is φ = 5365852800.

The previous prime is 22134215377. The next prime is 22134215401. The reversal of 22134215400 is 451243122.

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

It is not an unprimeable number, because it can be changed into a prime (22134215401) 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 35 ways as a sum of consecutive naturals, for example, 79840 + ... + 225039.

Almost surely, 222134215400 is an apocalyptic number.

22134215400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22134215400 is an abundant number, since it is smaller than the sum of its proper divisors (53286999000).

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

22134215400 is a wasteful number, since it uses less digits than its factorization.

22134215400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304920 (or 304900 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 22134215400 its reverse (451243122), we get a palindrome (22585458522).

The spelling of 22134215400 in words is "twenty-two billion, one hundred thirty-four million, two hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1452 1650 1815 2200 2420 2904 3025 3300 3630 4840 6050 6600 7260 9075 12100 14520 18150 24200 36300 72600 304879 609758 914637 1219516 1524395 1829274 2439032 3048790 3353669 3658548 4573185 6097580 6707338 7317096 7621975 9146370 10061007 12195160 13414676 15243950 16768345 18292740 20122014 22865925 26829352 30487900 33536690 36585480 36890359 40244028 45731850 50305035 60975800 67073380 73780718 80488056 83841725 91463700 100610070 110671077 134146760 147561436 167683450 182927400 184451795 201220140 221342154 251525175 295122872 335366900 368903590 402440280 442684308 503050350 553355385 670733800 737807180 885368616 922258975 1006100700 1106710770 1475614360 1844517950 2012201400 2213421540 2766776925 3689035900 4426843080 5533553850 7378071800 11067107700 22134215400