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2205112544442 = 2322325133762969
BaseRepresentation
bin100000000101101010111…
…100110010110010111010
321210210210002021200222100
4200011222330302302322
5242112032302410232
64405003102404230
7315212513236323
oct40055274626272
97723702250870
102205112544442
117802015a9325
122b7447890676
1312cc30b28672
1478a2996b44a
153c5601d9c7c
hex2016af32cba

2205112544442 has 96 divisors (see below), whose sum is σ = 5020266625920. Its totient is φ = 698189184000.

The previous prime is 2205112544423. The next prime is 2205112544447. The reversal of 2205112544442 is 2444452115022.

2205112544442 is a `hidden beast` number, since 2 + 2 + 0 + 51 + 125 + 44 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2205112544397 and 2205112544406.

It is not an unprimeable number, because it can be changed into a prime (2205112544447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34987534 + ... + 35050502.

It is an arithmetic number, because the mean of its divisors is an integer number (52294444020).

Almost surely, 22205112544442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205112544442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510133312960).

2205112544442 is an abundant number, since it is smaller than the sum of its proper divisors (2815154081478).

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

2205112544442 is a wasteful number, since it uses less digits than its factorization.

2205112544442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63588 (or 63585 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 2205112544442 its reverse (2444452115022), we get a palindrome (4649564659464).

The spelling of 2205112544442 in words is "two trillion, two hundred five billion, one hundred twelve million, five hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 251 337 414 502 674 753 1011 1506 2022 2259 3033 4518 5773 6066 7751 11546 15502 17319 23253 34638 46506 51957 62969 69759 84587 103914 125938 139518 169174 188907 253761 377814 507522 566721 761283 1133442 1448287 1522566 1945501 2896574 3891002 4344861 5836503 8689722 11673006 13034583 15805219 17509509 21220553 26069166 31610438 35019018 42441106 47415657 63661659 94831314 127323318 142246971 190984977 284493942 363520037 381969954 488072719 727040074 976145438 1090560111 1464218157 2181120222 2928436314 3271680333 4392654471 5326358803 6543360666 8785308942 10652717606 15979076409 31958152818 47937229227 95874458454 122506252469 245012504938 367518757407 735037514814 1102556272221 2205112544442