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2241221430140 = 2257211892336017
BaseRepresentation
bin100000100111010011001…
…101010000101101111100
321221020222120112011010022
4200213103031100231330
5243210010141231030
64433334121231312
7320631361554500
oct40472315205574
97836876464108
102241221430140
11794551083620
12302444632538
131334669c1614
147a69344a300
153d4752a8de5
hex209d3350b7c

2241221430140 has 144 divisors (see below), whose sum is σ = 6039821259360. Its totient is φ = 690713210880.

The previous prime is 2241221430137. The next prime is 2241221430143. The reversal of 2241221430140 is 410341221422.

It is an interprime number because it is at equal distance from previous prime (2241221430137) and next prime (2241221430143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241221430143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208589 + ... + 2127428.

It is an arithmetic number, because the mean of its divisors is an integer number (41943203190).

Almost surely, 22241221430140 is an apocalyptic number.

2241221430140 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 2241221430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019910629680).

2241221430140 is an abundant number, since it is smaller than the sum of its proper divisors (3798599829220).

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

2241221430140 is a wasteful number, since it uses less digits than its factorization.

2241221430140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336140 (or 2336131 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 2241221430140 its reverse (410341221422), we get a palindrome (2651562651562).

The spelling of 2241221430140 in words is "two trillion, two hundred forty-one billion, two hundred twenty-one million, four hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 89 98 110 140 154 178 196 220 245 308 356 385 445 490 539 623 770 890 979 980 1078 1246 1540 1780 1958 2156 2492 2695 3115 3916 4361 4895 5390 6230 6853 8722 9790 10780 12460 13706 17444 19580 21805 27412 34265 43610 47971 68530 87220 95942 137060 191884 239855 479710 959420 2336017 4672034 9344068 11680085 16352119 23360170 25696187 32704238 46720340 51392374 65408476 81760595 102784748 114464833 128480935 163521190 179873309 207905513 228929666 256961870 327042380 359746618 415811026 457859332 513923740 572324165 719493236 831622052 899366545 1039527565 1144648330 1259113163 1455338591 1798733090 2079055130 2286960643 2289296660 2518226326 2910677182 3597466180 4158110260 4573921286 5036452652 5821354364 6295565815 7276692955 9147842572 10187370137 11434803215 12591131630 14553385910 16008724501 20374740274 22869606430 25182263260 29106771820 32017449002 40749480548 45739212860 50936850685 64034898004 80043622505 101873701370 112061071507 160087245010 203747402740 224122143014 320174490020 448244286028 560305357535 1120610715070 2241221430140