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2230512151120 = 245112509452701
BaseRepresentation
bin100000011101010100111…
…000100110101001010000
321220020100020010102002121
4200131110320212221100
5243021042102313440
64424403320224024
7320102112313621
oct40352470465120
97806306112077
102230512151120
1178aa55a61800
1230035600b014
1313244b096426
1479d59015a48
153d049ee434a
hex20754e26a50

2230512151120 has 120 divisors (see below), whose sum is σ = 5711460458760. Its totient is φ = 809500032000.

The previous prime is 2230512151051. The next prime is 2230512151169. The reversal of 2230512151120 is 211512150322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 770455595536 + 1460056555584 = 877756^2 + 1208328^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4700770 + ... + 5153470.

It is an arithmetic number, because the mean of its divisors is an integer number (47595503823).

Almost surely, 22230512151120 is an apocalyptic number.

2230512151120 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 2230512151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855730229380).

2230512151120 is an abundant number, since it is smaller than the sum of its proper divisors (3480948307640).

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

2230512151120 is a wasteful number, since it uses less digits than its factorization.

2230512151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453245 (or 453228 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 2230512151120 in words is "two trillion, two hundred thirty billion, five hundred twelve million, one hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 509 605 880 968 1018 1210 1936 2036 2420 2545 4072 4840 5090 5599 8144 9680 10180 11198 20360 22396 27995 40720 44792 55990 61589 89584 111980 123178 223960 246356 307945 447920 452701 492712 615890 905402 985424 1231780 1810804 2263505 2463560 3621608 4527010 4927120 4979711 7243216 9054020 9959422 18108040 19918844 24898555 36216080 39837688 49797110 54776821 79675376 99594220 109553642 199188440 219107284 230424809 273884105 398376880 438214568 460849618 547768210 876429136 921699236 1095536420 1152124045 1843398472 2191072840 2304248090 2534672899 3686796944 4382145680 4608496180 5069345798 9216992360 10138691596 12673364495 18433984720 20277383192 25346728990 27881401889 40554766384 50693457980 55762803778 101386915960 111525607556 139407009445 202773831920 223051215112 278814018890 446102430224 557628037780 1115256075560 2230512151120