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2246055121520 = 2457101107371131
BaseRepresentation
bin100000101011110011010…
…100010101001001110000
321221201110102222010010222
4200223303110111021300
5243244410102342040
64435453512112212
7321162224346260
oct40536324251160
97851412863128
102246055121520
1179660161a491
12303373395668
13133a57261132
147a9d13b97a0
153d65980dbb5
hex20af3515270

2246055121520 has 160 divisors (see below), whose sum is σ = 6083524486656. Its totient is φ = 755323776000.

The previous prime is 2246055121469. The next prime is 2246055121537. The reversal of 2246055121520 is 251215506422.

It is a super-2 number, since 2×22460551215202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5866355 + ... + 6237485.

Almost surely, 22246055121520 is an apocalyptic number.

2246055121520 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 2246055121520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041762243328).

2246055121520 is an abundant number, since it is smaller than the sum of its proper divisors (3837469365136).

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

2246055121520 is a wasteful number, since it uses less digits than its factorization.

2246055121520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371359 (or 371353 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 2246055121520 in words is "two trillion, two hundred forty-six billion, fifty-five million, one hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 101 107 112 140 202 214 280 404 428 505 535 560 707 749 808 856 1010 1070 1414 1498 1616 1712 2020 2140 2828 2996 3535 3745 4040 4280 5656 5992 7070 7490 8080 8560 10807 11312 11984 14140 14980 21614 28280 29960 43228 54035 56560 59920 75649 86456 108070 151298 172912 216140 302596 371131 378245 432280 605192 742262 756490 864560 1210384 1484524 1512980 1855655 2597917 2969048 3025960 3711310 5195834 5938096 6051920 7422620 10391668 12989585 14845240 20783336 25979170 29690480 37484231 39711017 41566672 51958340 74968462 79422034 103916680 149936924 158844068 187421155 198555085 207833360 262389617 277977119 299873848 317688136 374842310 397110170 524779234 555954238 599747696 635376272 749684620 794220340 1049558468 1111908476 1311948085 1389885595 1499369240 1588440680 2099116936 2223816952 2623896170 2779771190 2998738480 3176881360 4010812717 4198233872 4447633904 5247792340 5559542380 8021625434 10495584680 11119084760 16043250868 20054063585 20991169360 22238169520 28075689019 32086501736 40108127170 56151378038 64173003472 80216254340 112302756076 140378445095 160432508680 224605512152 280756890190 320865017360 449211024304 561513780380 1123027560760 2246055121520