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212022322320 = 24352338409841
BaseRepresentation
bin1100010101110110000…
…0111110010010010000
3202021021012101221022110
43011131200332102100
511433210203303240
6241222434105320
721214053001254
oct3053540762220
9667235357273
10212022322320
1181a11089976
1235111a1b240
1316cbbc9b173
14a394a70264
1557adb53c80
hex315d83e490

212022322320 has 80 divisors (see below), whose sum is σ = 685846138752. Its totient is φ = 54081054720.

The previous prime is 212022322301. The next prime is 212022322339. The reversal of 212022322320 is 23223220212.

It is an interprime number because it is at equal distance from previous prime (212022322301) and next prime (212022322339).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19199401 + ... + 19210440.

Almost surely, 2212022322320 is an apocalyptic number.

212022322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212022322320 is an abundant number, since it is smaller than the sum of its proper divisors (473823816432).

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

212022322320 is a wasteful number, since it uses less digits than its factorization.

212022322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38409880 (or 38409874 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 212022322320 its reverse (23223220212), we get a palindrome (235245542532).

The spelling of 212022322320 in words is "two hundred twelve billion, twenty-two million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 38409841 76819682 115229523 153639364 192049205 230459046 307278728 384098410 460918092 576147615 614557456 768196820 883426343 921836184 1152295230 1536393640 1766852686 1843672368 2304590460 2650279029 3072787280 3533705372 4417131715 4609180920 5300558058 7067410744 8834263430 9218361840 10601116116 13251395145 14134821488 17668526860 21202232232 26502790290 35337053720 42404464464 53005580580 70674107440 106011161160 212022322320