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2290755887440 = 245172108791151
BaseRepresentation
bin100001010101011011101…
…100001110000101010000
322002222211201100022012221
4201111123230032011100
5300012432001344230
64512205252430424
7324334031525056
oct41253354160520
98088751308187
102290755887440
1180355aa84539
1230bb69618414
1313802c181c97
147cc31dd41d6
153e8c3d4027a
hex2155bb0e150

2290755887440 has 120 divisors (see below), whose sum is σ = 5662998116352. Its totient is φ = 861599385600.

The previous prime is 2290755887429. The next prime is 2290755887447. The reversal of 2290755887440 is 447885570922.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290755887447) 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, 25085865 + ... + 25177015.

Almost surely, 22290755887440 is an apocalyptic number.

2290755887440 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 2290755887440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831499058176).

2290755887440 is an abundant number, since it is smaller than the sum of its proper divisors (3372242228912).

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

2290755887440 is a wasteful number, since it uses less digits than its factorization.

2290755887440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92285 (or 92262 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 61.

The spelling of 2290755887440 in words is "two trillion, two hundred ninety billion, seven hundred fifty-five million, eight hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1087 1156 1360 1445 2174 2312 2890 4348 4624 5435 5780 8696 10870 11560 17392 18479 21740 23120 36958 43480 73916 86960 91151 92395 147832 182302 184790 295664 314143 364604 369580 455755 628286 729208 739160 911510 1256572 1458416 1478320 1549567 1570715 1823020 2513144 3099134 3141430 3646040 5026288 6198268 6282860 7292080 7747835 12396536 12565720 15495670 24793072 25131440 26342639 30991340 52685278 61982680 99081137 105370556 123965360 131713195 198162274 210741112 263426390 396324548 421482224 495405685 526852780 792649096 990811370 1053705560 1585298192 1684379329 1981622740 2107411120 3368758658 3963245480 6737517316 7926490960 8421896645 13475034632 16843793290 26950069264 28634448593 33687586580 57268897186 67375173160 114537794372 134750346320 143172242965 229075588744 286344485930 458151177488 572688971860 1145377943720 2290755887440