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2210243442440 = 23511101139357809
BaseRepresentation
bin100000001010011100110…
…001100111011100001000
321211022000122222022211112
4200022130301213130020
5242203034310124230
64411212151345452
7315453615164525
oct40123461473410
97738018868745
102210243442440
117823a48909a0
122b843a082288
1313056ab28697
1478d9518414c
153c76089ad95
hex2029cc67708

2210243442440 has 128 divisors (see below), whose sum is σ = 5518288944000. Its totient is φ = 790040064000.

The previous prime is 2210243442437. The next prime is 2210243442467. The reversal of 2210243442440 is 442443420122.

It is a junction number, because it is equal to n+sod(n) for n = 2210243442397 and 2210243442406.

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 31 ways as a sum of consecutive naturals, for example, 5998256 + ... + 6356064.

It is an arithmetic number, because the mean of its divisors is an integer number (43111632375).

Almost surely, 22210243442440 is an apocalyptic number.

2210243442440 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 2210243442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759144472000).

2210243442440 is an abundant number, since it is smaller than the sum of its proper divisors (3308045501560).

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

2210243442440 is a wasteful number, since it uses less digits than its factorization.

2210243442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358071 (or 358067 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 2210243442440 its reverse (442443420122), we get a palindrome (2652686862562).

The spelling of 2210243442440 in words is "two trillion, two hundred ten billion, two hundred forty-three million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 139 202 220 278 404 440 505 556 695 808 1010 1111 1112 1390 1529 2020 2222 2780 3058 4040 4444 5555 5560 6116 7645 8888 11110 12232 14039 15290 22220 28078 30580 44440 56156 61160 70195 112312 140390 154429 280780 308858 357809 561560 617716 715618 772145 1235432 1431236 1544290 1789045 2862472 3088580 3578090 3935899 6177160 7156180 7871798 14312360 15743596 19679495 31487192 36138709 39358990 49735451 72277418 78717980 99470902 144554836 157435960 180693545 198941804 248677255 289109672 361387090 397525799 397883608 497354510 547089961 722774180 795051598 994709020 1094179922 1445548360 1590103196 1987628995 1989418040 2188359844 2735449805 3180206392 3975257990 4376719688 5023280551 5470899610 7950515980 10046561102 10941799220 15901031960 20093122204 21883598440 25116402755 40186244408 50232805510 55256086061 100465611020 110512172122 200931222040 221024344244 276280430305 442048688488 552560860610 1105121721220 2210243442440