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2293061410240 = 26523333139283
BaseRepresentation
bin100001010111100101000…
…111000101110111000000
322010012210101120222221021
4201113211013011313000
5300032142210111430
64513230132035224
7324445125250636
oct41274507056700
98105711528837
102293061410240
11804533427987
123104b1762b14
13138308a0bb63
147cdb029d356
153e9ab45307a
hex215e51c5dc0

2293061410240 has 112 divisors (see below), whose sum is σ = 5486033618208. Its totient is φ = 912913956864.

The previous prime is 2293061410223. The next prime is 2293061410247. The reversal of 2293061410240 is 420141603922.

It is a super-2 number, since 2×22930614102402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2293061410196 and 2293061410205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293061410247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247012639 + ... + 247021921.

Almost surely, 22293061410240 is an apocalyptic number.

2293061410240 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 2293061410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743016809104).

2293061410240 is an abundant number, since it is smaller than the sum of its proper divisors (3192972207968).

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

2293061410240 is a wasteful number, since it uses less digits than its factorization.

2293061410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12846 (or 12836 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 2293061410240 in words is "two trillion, two hundred ninety-three billion, sixty-one million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 233 320 466 932 1165 1864 2330 3313 3728 4660 6626 7456 9283 9320 13252 14912 16565 18566 18640 26504 33130 37132 37280 46415 53008 66260 74264 74560 92830 106016 132520 148528 185660 212032 265040 297056 371320 530080 594112 742640 771929 1060160 1485280 1543858 2162939 2970560 3087716 3859645 4325878 6175432 7719290 8651756 10814695 12350864 15438580 17303512 21629390 24701728 30754579 30877160 34607024 43258780 49403456 61509158 61754320 69214048 86517560 123018316 123508640 138428096 153772895 173035120 246036632 247017280 307545790 346070240 492073264 615091580 692140480 984146528 1230183160 1968293056 2460366320 4920732640 7165816907 9841465280 14331633814 28663267628 35829084535 57326535256 71658169070 114653070512 143316338140 229306141024 286632676280 458612282048 573265352560 1146530705120 2293061410240