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2293140833344 = 2673225932
BaseRepresentation
bin100001010111101001110…
…110000100010001000000
322010012222221001002221201
4201113221312010101000
5300032323023131334
64513242050230544
7324450111322114
oct41275166042100
98105887032851
102293140833344
11804574244709
12310514285454
1313831c2c978a
147cdbaa55744
153e9b33e0c14
hex215e9d84440

2293140833344 has 63 divisors (see below), whose sum is σ = 4615420147983. Its totient is φ = 1130427850752.

The previous prime is 2293140833339. The next prime is 2293140833363. The reversal of 2293140833344 is 4433380413922.

The square root of 2293140833344 is 1514312.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 67554247744 + 2225586585600 = 259912^2 + 1491840^2 .

It is a super-2 number, since 2×22931408333442 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2293140833294 and 2293140833303.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 884356912 + ... + 884359504.

Almost surely, 22293140833344 is an apocalyptic number.

2293140833344 is the 1514312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293140833344

2293140833344 is an abundant number, since it is smaller than the sum of its proper divisors (2322279314639).

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

2293140833344 is an frugal number, since it uses more digits than its factorization.

2293140833344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 46.

The spelling of 2293140833344 in words is "two trillion, two hundred ninety-three billion, one hundred forty million, eight hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 2593 4672 5186 5329 10372 10658 20744 21316 41488 42632 82976 85264 165952 170528 189289 341056 378578 757156 1514312 3028624 6057248 6723649 12114496 13447298 13818097 26894596 27636194 53789192 55272388 107578384 110544776 215156768 221089552 430313536 442179104 490826377 884358208 981652754 1963305508 3926611016 7853222032 15706444064 31412888128 35830325521 71660651042 143321302084 286642604168 573285208336 1146570416672 2293140833344