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2205510164 = 22111321773239
BaseRepresentation
bin1000001101110101…
…0110101000010100
312200201001112011122
42003131112220110
514004102311124
61002503423112
7105440345534
oct20335265024
95621045148
102205510164
11a31a53480
12516754a98
13291c10700
1416ccb34c4
15cd95975e
hex83756a14

2205510164 has 144 divisors (see below), whose sum is σ = 4914120960. Its totient is φ = 855429120.

The previous prime is 2205510163. The next prime is 2205510169. The reversal of 2205510164 is 4610155022.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205510163) 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, 9227957 + ... + 9228195.

It is an arithmetic number, because the mean of its divisors is an integer number (34125840).

Almost surely, 22205510164 is an apocalyptic number.

It is an amenable number.

2205510164 is an abundant number, since it is smaller than the sum of its proper divisors (2708610796).

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

2205510164 is a wasteful number, since it uses less digits than its factorization.

2205510164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 2205510164 is about 46962.8594103894. The cubic root of 2205510164 is about 1301.6763706974.

Adding to 2205510164 its reverse (4610155022), we get a palindrome (6815665186).

The spelling of 2205510164 in words is "two billion, two hundred five million, five hundred ten thousand, one hundred sixty-four".

Divisors: 1 2 4 11 13 17 22 26 34 44 52 68 73 143 146 169 187 221 239 286 292 338 374 442 478 572 676 748 803 884 949 956 1241 1606 1859 1898 2431 2482 2629 2873 3107 3212 3718 3796 4063 4862 4964 5258 5746 6214 7436 8126 9724 10439 10516 11492 12337 12428 13651 16133 16252 17447 20878 24674 27302 31603 32266 34177 34894 40391 41756 44693 49348 52819 54604 63206 64532 68354 69788 80782 89386 105638 126412 135707 136708 161564 177463 178772 191917 209729 211276 226811 271414 296599 354926 383834 419458 444301 453622 542828 581009 593198 686647 709852 767668 838916 888602 907244 1162018 1186396 1373294 1777204 2307019 2324036 2494921 2746588 2948543 3262589 3855787 4614038 4989842 5897086 6525178 7553117 7711574 9228076 9979684 11794172 13050356 15106234 15423148 30212468 32433973 42413657 50125231 64867946 84827314 100250462 129735892 169654628 200500924 551377541 1102755082 2205510164