Search a number
-
+
2152206342 = 23311131914669
BaseRepresentation
bin1000000001001000…
…0001000000000110
312112222202102002000
42000102001000012
513401431100332
6553321130130
7104222311026
oct20022010006
95488672060
102152206342
11a04956530
12500929946
13283b695a0
14165b99a86
15c8e2ab7c
hex80481006

2152206342 has 128 divisors (see below), whose sum is σ = 5914944000. Its totient is φ = 570291840.

The previous prime is 2152206337. The next prime is 2152206359. The reversal of 2152206342 is 2436022512.

It is a happy number.

2152206342 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 20 + 634 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 139384 + ... + 154052.

It is an arithmetic number, because the mean of its divisors is an integer number (46210500).

Almost surely, 22152206342 is an apocalyptic number.

2152206342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152206342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957472000).

2152206342 is an abundant number, since it is smaller than the sum of its proper divisors (3762737658).

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

2152206342 is a wasteful number, since it uses less digits than its factorization.

2152206342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14723 (or 14717 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2152206342 is about 46391.8779744903. The cubic root of 2152206342 is about 1291.1042248891.

Adding to 2152206342 its reverse (2436022512), we get a palindrome (4588228854).

The spelling of 2152206342 in words is "two billion, one hundred fifty-two million, two hundred six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 27 33 38 39 54 57 66 78 99 114 117 143 171 198 209 234 247 286 297 342 351 418 429 494 513 594 627 702 741 858 1026 1254 1287 1482 1881 2223 2574 2717 3762 3861 4446 5434 5643 6669 7722 8151 11286 13338 14669 16302 24453 29338 44007 48906 73359 88014 132021 146718 161359 190697 264042 278711 322718 381394 396063 484077 557422 572091 792126 836133 968154 1144182 1452231 1672266 1716273 2097667 2508399 2904462 3065821 3432546 3623243 4195334 4356693 5016798 5148819 6131642 6293001 7246486 7525197 8713386 9197463 10297638 10869729 12586002 15050394 18394926 18879003 21739458 27592389 32609187 37758006 39855673 55184778 56637009 65218374 79711346 82777167 97827561 113274018 119567019 165554334 195655122 239134038 358701057 717402114 1076103171 2152206342