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2281734105340 = 225736491240769
BaseRepresentation
bin100001001101000001111…
…100110110100011111100
322002010112222021021210011
4201031001330312203330
5244340442412332330
64504114132353004
7323564332613254
oct41150174664374
98063488237704
102281734105340
117aa750466078
1230a270175764
13137222046391
147c617b4c964
153e546cae82a
hex21341f368fc

2281734105340 has 48 divisors (see below), whose sum is σ = 4858049034720. Its totient is φ = 900048568320.

The previous prime is 2281734105337. The next prime is 2281734105347. The reversal of 2281734105340 is 435014371822.

2281734105340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2281734105293 and 2281734105302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281734105347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9356476 + ... + 9597244.

It is an arithmetic number, because the mean of its divisors is an integer number (101209354890).

Almost surely, 22281734105340 is an apocalyptic number.

2281734105340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2281734105340 is an abundant number, since it is smaller than the sum of its proper divisors (2576314929380).

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

2281734105340 is a wasteful number, since it uses less digits than its factorization.

2281734105340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247342 (or 247340 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 2281734105340 in words is "two trillion, two hundred eighty-one billion, seven hundred thirty-four million, one hundred five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 6491 12982 25964 32455 64910 129820 240769 473843 481538 947686 963076 1203845 1895372 2369215 2407690 4738430 4815380 9476860 17576137 35152274 70304548 87880685 175761370 351522740 1562831579 3125663158 6251326316 7814157895 15628315790 31256631580 114086705267 228173410534 456346821068 570433526335 1140867052670 2281734105340