Search a number
-
+
22200655152117 = 313172353107256723
BaseRepresentation
bin1010000110000111111100…
…01010100000001111110101
32220121100202211101012212110
411003003332022200033311
510402213420204331432
6115114501251241233
74450641634126311
oct503037612401765
986540684335773
1022200655152117
11708a277077552
1225a67765a9219
13c50688803340
1456a735c10b41
15287753a9bdcc
hex1430fe2a03f5

22200655152117 has 128 divisors (see below), whose sum is σ = 36220609990656. Its totient is φ = 11954356457472.

The previous prime is 22200655152113. The next prime is 22200655152127. The reversal of 22200655152117 is 71125155600222.

It is not a de Polignac number, because 22200655152117 - 22 = 22200655152113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200655152113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86348718 + ... + 86605440.

It is an arithmetic number, because the mean of its divisors is an integer number (282973515552).

Almost surely, 222200655152117 is an apocalyptic number.

It is an amenable number.

22200655152117 is a deficient number, since it is larger than the sum of its proper divisors (14019954838539).

22200655152117 is a wasteful number, since it uses less digits than its factorization.

22200655152117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256939.

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 22200655152117 in words is "twenty-two trillion, two hundred billion, six hundred fifty-five million, one hundred fifty-two thousand, one hundred seventeen".

Divisors: 1 3 13 17 23 39 51 53 69 107 159 221 299 321 391 663 689 897 901 1173 1219 1391 1819 2067 2461 2703 3657 4173 5083 5457 5671 7383 11713 15249 15847 17013 20723 23647 31993 35139 41837 47541 62169 70941 73723 95979 96407 125511 130433 221169 256723 269399 289221 391299 543881 770169 808197 1253291 1631643 1695629 2217361 3337399 3759873 4364291 5086887 5904629 6652083 10012197 13092873 13606319 17713887 27469361 28825693 40818957 56735783 76760177 82408083 86477079 100378693 170207349 176882147 230280531 231307423 301136079 312945337 357101693 466979137 530646441 631795303 693922269 938836011 1071305079 1304923009 1400937411 1455876133 1895385909 3006996499 3914769027 4068289381 4367628399 5320070729 6070728781 8213338939 9020989497 10740520151 12204868143 15960212187 18212186343 18926389729 24640016817 24749894261 32221560453 33485151059 56779169187 69160919477 74249682783 100455453177 139626761963 207482758431 321748625393 418880285889 435306963767 569247568003 965245876179 1305920891301 1707742704009 7400218384039 22200655152117