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2243144332100 = 225278997371191
BaseRepresentation
bin100000101001000101110…
…100100011001101000100
321221102221120210200201102
4200221011310203031010
5243222424422111400
64434253011515232
7321030131140610
oct40510564431504
97842846720642
102243144332100
117953485512a1
123028a05b8b18
131336b21b3429
147a7d6996340
153d538edc9d5
hex20a45d23344

2243144332100 has 144 divisors (see below), whose sum is σ = 5683513731840. Its totient is φ = 752595148800.

The previous prime is 2243144332087. The next prime is 2243144332139. The reversal of 2243144332100 is 12334413422.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5857505 + ... + 6228695.

It is an arithmetic number, because the mean of its divisors is an integer number (39468845360).

Almost surely, 22243144332100 is an apocalyptic number.

2243144332100 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 2243144332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841756865920).

2243144332100 is an abundant number, since it is smaller than the sum of its proper divisors (3440369399740).

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

2243144332100 is a wasteful number, since it uses less digits than its factorization.

2243144332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371398 (or 371391 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 2243144332100 its reverse (12334413422), we get a palindrome (2255478745522).

The spelling of 2243144332100 in words is "two trillion, two hundred forty-three billion, one hundred forty-four million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 89 97 100 140 175 178 194 350 356 388 445 485 623 679 700 890 970 1246 1358 1780 1940 2225 2425 2492 2716 3115 3395 4450 4850 6230 6790 8633 8900 9700 12460 13580 15575 16975 17266 31150 33950 34532 43165 60431 62300 67900 86330 120862 172660 215825 241724 302155 371191 431650 604310 742382 863300 1208620 1484764 1510775 1855955 2598337 3021550 3711910 5196674 6043100 7423820 9279775 10393348 12991685 18559550 25983370 33035999 36005527 37119100 51966740 64958425 66071998 72011054 129916850 132143996 144022108 165179995 180027635 231251993 252038689 259833700 330359990 360055270 462503986 504077378 660719980 720110540 825899975 900138175 925007972 1008154756 1156259965 1260193445 1651799950 1800276350 2312519930 2520386890 3204491903 3303599900 3600552700 4625039860 5040773780 5781299825 6300967225 6408983806 11562599650 12601934450 12817967612 16022459515 22431443321 23125199300 25203868900 32044919030 44862886642 64089838060 80112297575 89725773284 112157216605 160224595150 224314433210 320449190300 448628866420 560786083025 1121572166050 2243144332100