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4222020080400 = 2435214957235231
BaseRepresentation
bin111101011100000100000…
…000011101001100010000
3112221121202211122101000220
4331130010000131030100
51023133144120033100
612551322542513040
7614013410361213
oct75340400351420
915847684571026
104222020080400
1113886042a4121
12582309b95780
1324819a17a785
141084bdb0b77a
1574c576c7aa0
hex3d70401d310

4222020080400 has 120 divisors (see below), whose sum is σ = 13525499384064. Its totient is φ = 1125791961600.

The previous prime is 4222020080347. The next prime is 4222020080413. The reversal of 4222020080400 is 40800202224.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 17830785 + ... + 18066015.

Almost surely, 24222020080400 is an apocalyptic number.

4222020080400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4222020080400 is an abundant number, since it is smaller than the sum of its proper divisors (9303479303664).

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

4222020080400 is a wasteful number, since it uses less digits than its factorization.

4222020080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250209 (or 250198 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4222020080400 its reverse (40800202224), we get a palindrome (4262820282624).

The spelling of 4222020080400 in words is "four trillion, two hundred twenty-two billion, twenty million, eighty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 14957 29914 44871 59828 74785 89742 119656 149570 179484 224355 235231 239312 299140 358968 373925 448710 470462 598280 705693 717936 747850 897420 940924 1121775 1176155 1196560 1411386 1495700 1794840 1881848 2243550 2352310 2822772 2991400 3528465 3589680 3763696 4487100 4704620 5645544 5880775 5982800 7056930 8974200 9409240 11291088 11761550 14113860 17642325 17948400 18818480 23523100 28227720 35284650 47046200 56455440 70569300 94092400 141138600 282277200 3518350067 7036700134 10555050201 14073400268 17591750335 21110100402 28146800536 35183500670 42220200804 52775251005 56293601072 70367001340 84440401608 87958751675 105550502010 140734002680 168880803216 175917503350 211101004020 263876255025 281468005360 351835006700 422202008040 527752510050 703670013400 844404016080 1055505020100 1407340026800 2111010040200 4222020080400