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212025088 = 28111743103
BaseRepresentation
bin11001010001100…
…11111100000000
3112202221222202001
430220303330000
5413234300323
633012233344
75153116642
oct1450637400
9482858661
10212025088
11a9756650
125b00b854
1334c07842
1420232892
15139323ad
hexca33f00

212025088 has 144 divisors (see below), whose sum is σ = 505080576. Its totient is φ = 87736320.

The previous prime is 212025083. The next prime is 212025091. The reversal of 212025088 is 880520212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212025083) 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, 2058445 + ... + 2058547.

It is an arithmetic number, because the mean of its divisors is an integer number (3507504).

Almost surely, 2212025088 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 212025088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252540288).

212025088 is an abundant number, since it is smaller than the sum of its proper divisors (293055488).

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

212025088 is a wasteful number, since it uses less digits than its factorization.

212025088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 212025088 is about 14561.0812785315. The cubic root of 212025088 is about 596.2967157616.

The spelling of 212025088 in words is "two hundred twelve million, twenty-five thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 43 44 64 68 86 88 103 128 136 172 176 187 206 256 272 344 352 374 412 473 544 688 704 731 748 824 946 1088 1133 1376 1408 1462 1496 1648 1751 1892 2176 2266 2752 2816 2924 2992 3296 3502 3784 4352 4429 4532 5504 5848 5984 6592 7004 7568 8041 8858 9064 11008 11696 11968 13184 14008 15136 16082 17716 18128 19261 23392 23936 26368 28016 30272 32164 35432 36256 38522 46784 47872 48719 56032 60544 64328 70864 72512 75293 77044 93568 97438 112064 121088 128656 141728 145024 150586 154088 187136 194876 224128 257312 283456 290048 301172 308176 389752 448256 514624 566912 602344 616352 779504 828223 1029248 1133824 1204688 1232704 1559008 1656446 2058496 2409376 2465408 3118016 3312892 4818752 4930816 6236032 6625784 9637504 12472064 13251568 19275008 26503136 53006272 106012544 212025088