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22002053400 = 23325261200383
BaseRepresentation
bin10100011111011011…
…001011000100011000
32002210100202010012200
4110133123023010120
5330030011202100
614035124210200
71406142240165
oct243733130430
962710663180
1022002053400
119370649408
124320539960
1320c83c0812
1410ca15706c
1588b8d6e00
hex51f6cb118

22002053400 has 144 divisors (see below), whose sum is σ = 75101919360. Its totient is φ = 5771001600.

The previous prime is 22002053389. The next prime is 22002053431. The reversal of 22002053400 is 435020022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 9609 + ... + 209991.

Almost surely, 222002053400 is an apocalyptic number.

22002053400 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 22002053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37550959680).

22002053400 is an abundant number, since it is smaller than the sum of its proper divisors (53099865960).

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

22002053400 is a wasteful number, since it uses less digits than its factorization.

22002053400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200466 (or 200454 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 22002053400 its reverse (435020022), we get a palindrome (22437073422).

The spelling of 22002053400 in words is "twenty-two billion, two million, fifty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 61 72 75 90 100 120 122 150 180 183 200 225 244 300 305 360 366 450 488 549 600 610 732 900 915 1098 1220 1464 1525 1800 1830 2196 2440 2745 3050 3660 4392 4575 5490 6100 7320 9150 10980 12200 13725 18300 21960 27450 36600 54900 109800 200383 400766 601149 801532 1001915 1202298 1603064 1803447 2003830 2404596 3005745 3606894 4007660 4809192 5009575 6011490 7213788 8015320 9017235 10019150 12022980 12223363 14427576 15028725 18034470 20038300 24045960 24446726 30057450 36068940 36670089 40076600 45086175 48893452 60114900 61116815 72137880 73340178 90172350 97786904 110010267 120229800 122233630 146680356 180344700 183350445 220020534 244467260 293360712 305584075 360689400 366700890 440041068 488934520 550051335 611168150 733401780 880082136 916752225 1100102670 1222336300 1466803560 1833504450 2200205340 2444672600 2750256675 3667008900 4400410680 5500513350 7334017800 11001026700 22002053400