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214222140400332 = 223136150647258983
BaseRepresentation
bin110000101101010101111010…
…100101001110001011001100
31001002111102210021220120100110
4300231111322211032023030
5211034303420420302312
62035340143120200020
763060016225146321
oct6055257245161314
91032442707816313
10214222140400332
1162292110550649
1220039829469010
13926c0a44a159c
143ac859a820b48
1519b762202543c
hexc2d57a94e2cc

214222140400332 has 48 divisors (see below), whose sum is σ = 500230736957952. Its totient is φ = 71353228903680.

The previous prime is 214222140400321. The next prime is 214222140400351. The reversal of 214222140400332 is 233004041222412.

214222140400332 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2142221404003322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214222140400332.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 827037313 + ... + 827296295.

It is an arithmetic number, because the mean of its divisors is an integer number (10421473686624).

Almost surely, 2214222140400332 is an apocalyptic number.

It is an amenable number.

214222140400332 is an abundant number, since it is smaller than the sum of its proper divisors (286008596557620).

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

214222140400332 is a wasteful number, since it uses less digits than its factorization.

214222140400332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310998 (or 310996 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 214222140400332 its reverse (233004041222412), we get a palindrome (447226181622744).

The spelling of 214222140400332 in words is "two hundred fourteen trillion, two hundred twenty-two billion, one hundred forty million, four hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 1361 2722 4083 5444 8166 16332 50647 101294 151941 202588 258983 303882 517966 607764 776949 1035932 1553898 3107796 68930567 137861134 206791701 275722268 352475863 413583402 704951726 827166804 1057427589 1409903452 2114855178 4229710356 13116712001 26233424002 39350136003 52466848004 78700272006 157400544012 17851845033361 35703690066722 53555535100083 71407380133444 107111070200166 214222140400332