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212202203312 = 24114776933359
BaseRepresentation
bin1100010110100000111…
…1001010100010110000
3202021201201212211122102
43011220033022202300
511434042231001222
6241252341355532
721221365652531
oct3055017124260
9667651784572
10212202203312
1181aa3680150
1235162108ba8
131701a32cb18
14a3b08d6688
1557be836d92
hex31683ca8b0

212202203312 has 80 divisors (see below), whose sum is σ = 458670643200. Its totient is φ = 94277713920.

The previous prime is 212202203309. The next prime is 212202203329. The reversal of 212202203312 is 213302202212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6344489 + ... + 6377847.

It is an arithmetic number, because the mean of its divisors is an integer number (5733383040).

Almost surely, 2212202203312 is an apocalyptic number.

212202203312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212202203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229335321600).

212202203312 is an abundant number, since it is smaller than the sum of its proper divisors (246468439888).

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

212202203312 is a wasteful number, since it uses less digits than its factorization.

212202203312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34194 (or 34188 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212202203312 its reverse (213302202212), we get a palindrome (425504405524).

It can be divided in two parts, 212202 and 203312, that added together give a palindrome (415514).

The spelling of 212202203312 in words is "two hundred twelve billion, two hundred two million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 769 1034 1538 2068 3076 4136 6152 8272 8459 12304 16918 33359 33836 36143 66718 67672 72286 133436 135344 144572 266872 289144 366949 397573 533744 578288 733898 795146 1467796 1567873 1590292 2935592 3135746 3180584 5871184 6271492 6361168 12542984 17246603 25085968 25653071 34493206 51306142 68986412 102612284 137972824 205224568 275945648 282183781 410449136 564367562 1128735124 1205694337 2257470248 2411388674 4514940496 4822777348 9645554696 13262637707 19291109392 26525275414 53050550828 106101101656 212202203312