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22322212001032 = 23312811399228961
BaseRepresentation
bin1010001001101010010111…
…00001000101010100001000
32221000222112100000221120211
411010311023201011110020
510411211342233013112
6115250403240330504
74462504136240656
oct504651341052410
987028470027524
1022322212001032
117126884810269
12260623b773a34
13c5bc8b3c5588
14572587c17dd6
1528a9ba57b0a7
hex144d4b845508

22322212001032 has 64 divisors (see below), whose sum is σ = 43389214848000. Its totient is φ = 10754892288000.

The previous prime is 22322212001003. The next prime is 22322212001053. The reversal of 22322212001032 is 23010021222322.

It is a super-3 number, since 3×223222120010323 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22322212000994 and 22322212001012.

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, 97379032 + ... + 97607992.

It is an arithmetic number, because the mean of its divisors is an integer number (677956482000).

Almost surely, 222322212001032 is an apocalyptic number.

It is an amenable number.

22322212001032 is a deficient number, since it is larger than the sum of its proper divisors (21067002846968).

22322212001032 is a wasteful number, since it uses less digits than its factorization.

22322212001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230678 (or 230674 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 22322212001032 its reverse (23010021222322), we get a palindrome (45332233223354).

The spelling of 22322212001032 in words is "twenty-two trillion, three hundred twenty-two billion, two hundred twelve million, one thousand, thirty-two".

Divisors: 1 2 4 8 31 62 124 248 281 562 1124 1399 2248 2798 5596 8711 11192 17422 34844 43369 69688 86738 173476 228961 346952 393119 457922 786238 915844 1572476 1831688 3144952 7097791 12186689 14195582 24373378 28391164 48746756 56782328 64338041 97493512 128676082 257352164 320316439 514704328 640632878 1281265756 1994479271 2562531512 3988958542 7977917084 9929809609 15955834168 19859619218 39719238436 79438476872 90008919359 180017838718 360035677436 720071354872 2790276500129 5580553000258 11161106000516 22322212001032