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2221202012000 = 25533329166807
BaseRepresentation
bin100000010100101001111…
…101001111011101100000
321212100022101110100012012
4200110221331033131200
5242343010203341000
64420223415452052
7316322312404106
oct40245175173540
97770271410165
102221202012000
117870086a1454
122ba598087028
131315c62a837a
147971474bc76
153cba29a4735
hex20529f4f760

2221202012000 has 96 divisors (see below), whose sum is σ = 5459165449920. Its totient is φ = 888208588800.

The previous prime is 2221202011999. The next prime is 2221202012009. The reversal of 2221202012000 is 2102021222.

It is a super-2 number, since 2×22212020120002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221202012009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13232597 + ... + 13399403.

It is an arithmetic number, because the mean of its divisors is an integer number (56866306770).

Almost surely, 22221202012000 is an apocalyptic number.

2221202012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221202012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729582724960).

2221202012000 is an abundant number, since it is smaller than the sum of its proper divisors (3237963437920).

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

2221202012000 is a wasteful number, since it uses less digits than its factorization.

2221202012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170161 (or 170143 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2221202012000 its reverse (2102021222), we get a palindrome (2223304033222).

The spelling of 2221202012000 in words is "two trillion, two hundred twenty-one billion, two hundred two million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 3329 4000 6658 13316 16645 26632 33290 53264 66580 83225 106528 133160 166450 166807 266320 332900 333614 416125 532640 665800 667228 832250 834035 1331600 1334456 1664500 1668070 2663200 2668912 3329000 3336140 4170175 5337824 6658000 6672280 8340350 13316000 13344560 16680700 20850875 26689120 33361400 41701750 66722800 83403500 133445600 166807000 333614000 555300503 667228000 1110601006 2221202012 2776502515 4442404024 5553005030 8884808048 11106010060 13882512575 17769616096 22212020120 27765025150 44424040240 55530050300 69412562875 88848080480 111060100600 138825125750 222120201200 277650251500 444240402400 555300503000 1110601006000 2221202012000