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2205050364 = 2234113471783
BaseRepresentation
bin1000001101101110…
…0110010111111100
312200200012011110000
42003123212113330
514003443102424
61002445514300
7105433422156
oct20333462774
95620164400
102205050364
11a31769a80
12516572990
13291aac33a
1416cbd3ad6
15cd8b83c9
hex836e65fc

2205050364 has 120 divisors (see below), whose sum is σ = 6310136448. Its totient is φ = 665897760.

The previous prime is 2205050359. The next prime is 2205050413. The reversal of 2205050364 is 4630505022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1235817 + ... + 1237599.

Almost surely, 22205050364 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 2205050364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155068224).

2205050364 is an abundant number, since it is smaller than the sum of its proper divisors (4105086084).

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

2205050364 is a wasteful number, since it uses less digits than its factorization.

2205050364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2205050364 is about 46957.9637974221. The cubic root of 2205050364 is about 1301.5859075169.

Adding to 2205050364 its reverse (4630505022), we get a palindrome (6835555386).

The spelling of 2205050364 in words is "two billion, two hundred five million, fifty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 347 396 594 694 891 1041 1188 1388 1782 1783 2082 3123 3564 3566 3817 4164 5349 6246 7132 7634 9369 10698 11451 12492 15268 16047 18738 19613 21396 22902 28107 32094 34353 37476 39226 45804 48141 56214 58839 64188 68706 78452 96282 103059 112428 117678 137412 144423 176517 192564 206118 235356 288846 309177 353034 412236 529551 577692 618354 618701 706068 1059102 1236708 1237402 1588653 1856103 2118204 2474804 3177306 3712206 5568309 6354612 6805711 7424412 11136618 13611422 16704927 20417133 22273236 27222844 33409854 40834266 50114781 61251399 66819708 81668532 100229562 122502798 183754197 200459124 245005596 367508394 551262591 735016788 1102525182 2205050364