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212322232233 = 33374324120509
BaseRepresentation
bin1100010110111101100…
…1000010011110101001
3202022001002201221101000
43011233121002132221
511434313442412413
6241312310145213
721224354124216
oct3055731023651
9668032657330
10212322232233
1182055401701
1235196352209
1317039166c57
14a3c281cb0d
1557ca146073
hex316f6427a9

212322232233 has 64 divisors (see below), whose sum is σ = 331953529600. Its totient is φ = 133954974720.

The previous prime is 212322232229. The next prime is 212322232261. The reversal of 212322232233 is 332232223212.

212322232233 is a `hidden beast` number, since 2 + 12 + 322 + 2 + 322 + 3 + 3 = 666.

It is not a de Polignac number, because 212322232233 - 22 = 212322232229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212322232197 and 212322232206.

It is not an unprimeable number, because it can be changed into a prime (212322232273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10342383 + ... + 10362891.

It is an arithmetic number, because the mean of its divisors is an integer number (5186773900).

Almost surely, 2212322232233 is an apocalyptic number.

It is an amenable number.

212322232233 is a deficient number, since it is larger than the sum of its proper divisors (119631297367).

212322232233 is a wasteful number, since it uses less digits than its factorization.

212322232233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20839 (or 20833 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

Adding to 212322232233 its reverse (332232223212), we get a palindrome (544554455445).

The spelling of 212322232233 in words is "two hundred twelve billion, three hundred twenty-two million, two hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 27 37 43 111 129 241 333 387 723 999 1161 1591 2169 4773 6507 8917 10363 14319 20509 26751 31089 42957 61527 80253 93267 184581 240759 279801 383431 553743 758833 881887 1150293 2276499 2645661 3450879 4942669 6829497 7936983 10352637 14828007 20488491 23810949 32629819 44484021 97889457 133452063 182878753 212534767 293668371 548636259 637604301 881005113 1645908777 1912812903 4937726331 5738438709 7863786379 23591359137 70774077411 212322232233