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212032212320 = 2552357617449
BaseRepresentation
bin1100010101111000011…
…0101100110101100000
3202021021220000101211202
43011132012230311200
511433220221243240
6241223430100332
721214233032135
oct3053606546540
9667256011752
10212032212320
1181a16724425
12351151aa6a8
1316cc1051936
14a3960c658c
1557ae959315
hex315e1acd60

212032212320 has 48 divisors (see below), whose sum is σ = 522705506400. Its totient is φ = 81125366784.

The previous prime is 212032212317. The next prime is 212032212341. The reversal of 212032212320 is 23212230212.

It is a happy number.

It is a super-2 number, since 2×2120322123202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212032212292 and 212032212301.

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, 28805045 + ... + 28812404.

It is an arithmetic number, because the mean of its divisors is an integer number (10889698050).

Almost surely, 2212032212320 is an apocalyptic number.

212032212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212032212320 is an abundant number, since it is smaller than the sum of its proper divisors (310673294080).

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

212032212320 is a wasteful number, since it uses less digits than its factorization.

212032212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57617487 (or 57617479 counting only the distinct ones).

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

Adding to 212032212320 its reverse (23212230212), we get a palindrome (235244442532).

The spelling of 212032212320 in words is "two hundred twelve billion, thirty-two million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 57617449 115234898 230469796 288087245 460939592 576174490 921879184 1152348980 1325201327 1843758368 2304697960 2650402654 4609395920 5300805308 6626006635 9218791840 10601610616 13252013270 21203221232 26504026540 42406442464 53008053080 106016106160 212032212320