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2220300041240 = 2354310326347653
BaseRepresentation
bin100000010011110100001…
…100011111110000011000
321212020222112020110220202
4200103310030133300120
5242334133302304430
64415554115241332
7316261050646541
oct40236414376030
97766875213822
102220300041240
11786695543476
122ba385ba9248
131314b1471968
147966aa3b4c8
153cb4d6d8d45
hex204f431fc18

2220300041240 has 128 divisors (see below), whose sum is σ = 5181217367040. Its totient is φ = 855759776256.

The previous prime is 2220300041189. The next prime is 2220300041249. The reversal of 2220300041240 is 421400030222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220300041249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46569254 + ... + 46616906.

It is an arithmetic number, because the mean of its divisors is an integer number (40478260680).

Almost surely, 22220300041240 is an apocalyptic number.

2220300041240 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 2220300041240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590608683520).

2220300041240 is an abundant number, since it is smaller than the sum of its proper divisors (2960917325800).

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

2220300041240 is a wasteful number, since it uses less digits than its factorization.

2220300041240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48073 (or 48069 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2220300041240 its reverse (421400030222), we get a palindrome (2641700071462).

The spelling of 2220300041240 in words is "two trillion, two hundred twenty billion, three hundred million, forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 103 172 206 215 263 344 412 430 515 526 824 860 1030 1052 1315 1720 2060 2104 2630 4120 4429 5260 8858 10520 11309 17716 22145 22618 27089 35432 44290 45236 47653 54178 56545 88580 90472 95306 108356 113090 135445 177160 190612 216712 226180 238265 270890 381224 452360 476530 541780 953060 1083560 1164827 1906120 2049079 2329654 4098158 4659308 4908259 5824135 8196316 9318616 9816518 10245395 11648270 12532739 16392632 19633036 20490790 23296540 24541295 25065478 39266072 40981580 46593080 49082590 50130956 62663695 81963160 98165180 100261912 125327390 196330360 211055137 250654780 422110274 501309560 538907777 844220548 1055275685 1077815554 1290872117 1688441096 2110551370 2155631108 2581744234 2694538885 4221102740 4311262216 5163488468 5389077770 6454360585 8442205480 10326976936 10778155540 12908721170 21556311080 25817442340 51634884680 55507501031 111015002062 222030004124 277537505155 444060008248 555075010310 1110150020620 2220300041240