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2205164112 = 2431710912477
BaseRepresentation
bin1000001101110000…
…0010001001010000
312200200101221110220
42003130002021100
514004010222422
61002452153040
7105434404614
oct20334021120
95620357426
102205164112
11a31837488
12516608780
13291b1c048
1416cc23344
15cd8dbe5c
hex83702250

2205164112 has 80 divisors (see below), whose sum is σ = 6039738432. Its totient is φ = 690903040.

The previous prime is 2205164107. The next prime is 2205164113. The reversal of 2205164112 is 2114615022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205164113) 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, 889018 + ... + 891494.

Almost surely, 22205164112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205164112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019869216).

2205164112 is an abundant number, since it is smaller than the sum of its proper divisors (3834574320).

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

2205164112 is a wasteful number, since it uses less digits than its factorization.

2205164112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2205164112 is about 46959.1749501628. The cubic root of 2205164112 is about 1301.6082879956.

Adding to 2205164112 its reverse (2114615022), we get a palindrome (4319779134).

The spelling of 2205164112 in words is "two billion, two hundred five million, one hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1091 2182 2477 3273 4364 4954 6546 7431 8728 9908 13092 14862 17456 18547 19816 26184 29724 37094 39632 42109 52368 55641 59448 74188 84218 111282 118896 126327 148376 168436 222564 252654 296752 336872 445128 505308 673744 890256 1010616 2021232 2702407 5404814 8107221 10809628 16214442 21619256 32428884 43238512 45940919 64857768 91881838 129715536 137822757 183763676 275645514 367527352 551291028 735054704 1102582056 2205164112