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212038640 = 24511240953
BaseRepresentation
bin11001010001101…
…11001111110000
3112202222200022222
430220313033300
5413240214030
633012420212
75153204312
oct1450671760
9482880288
10212038640
11a9765850
125b017668
1334c10a68
14202377b2
15139363e5
hexca373f0

212038640 has 40 divisors (see below), whose sum is σ = 537809328. Its totient is φ = 77104640.

The previous prime is 212038627. The next prime is 212038663. The reversal of 212038640 is 46830212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119597 + ... + 121356.

Almost surely, 2212038640 is an apocalyptic number.

212038640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212038640 is an abundant number, since it is smaller than the sum of its proper divisors (325770688).

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

212038640 is a wasteful number, since it uses less digits than its factorization.

212038640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240977 (or 240971 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 212038640 is about 14561.5466211526. The cubic root of 212038640 is about 596.3094199829.

Adding to 212038640 its reverse (46830212), we get a palindrome (258868852).

The spelling of 212038640 in words is "two hundred twelve million, thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 240953 481906 963812 1204765 1927624 2409530 2650483 3855248 4819060 5300966 9638120 10601932 13252415 19276240 21203864 26504830 42407728 53009660 106019320 212038640