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212022188874 = 233235329310993
BaseRepresentation
bin1100010101110110000…
…0011101101101001010
3202021021012011011021000
43011131200131231022
511433210140020444
6241222431155430
721214051604226
oct3053540355512
9667235134230
10212022188874
1181a10aa8691
1235111975b76
1316cbbc524c2
14a394a37786
1557adb29469
hex315d81db4a

212022188874 has 128 divisors (see below), whose sum is σ = 502677342720. Its totient is φ = 66093401088.

The previous prime is 212022188789. The next prime is 212022188879. The reversal of 212022188874 is 478881220212.

212022188874 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212022188879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19281522 + ... + 19292514.

It is an arithmetic number, because the mean of its divisors is an integer number (3927166740).

Almost surely, 2212022188874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212022188874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251338671360).

212022188874 is an abundant number, since it is smaller than the sum of its proper divisors (290655153846).

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

212022188874 is a wasteful number, since it uses less digits than its factorization.

212022188874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11373 (or 11367 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 212022188874 in words is "two hundred twelve billion, twenty-two million, one hundred eighty-eight thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 27 46 53 54 69 106 138 159 207 293 318 414 477 586 621 879 954 1219 1242 1431 1758 2438 2637 2862 3657 5274 6739 7314 7911 10971 10993 13478 15529 15822 20217 21942 21986 31058 32913 32979 40434 46587 60651 65826 65958 93174 98937 121302 139761 181953 197874 252839 279522 296811 357167 363906 419283 505678 582629 593622 714334 758517 838566 1071501 1165258 1517034 1747887 2143002 2275551 3214503 3220949 3495774 4551102 5243661 6429006 6441898 6826653 9643509 9662847 10487322 13400467 13653306 15730983 19287018 19325694 26800934 28988541 31461966 40201401 57977082 74081827 80402802 86965623 120604203 148163654 170710297 173931246 222245481 241208406 341420594 361812609 444490962 512130891 666736443 723625218 1024261782 1333472886 1536392673 2000209329 3072785346 3926336831 4000418658 4609178019 7852673662 9218356038 11779010493 23558020986 35337031479 70674062958 106011094437 212022188874