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221222201199978 = 231153283887251941
BaseRepresentation
bin110010010011001101001110…
…101110000000110101101010
31002000021122011120021111011110
4302103031032232000311222
5212444001032001344403
62102300024245011150
764411530242204136
oct6223151656006552
91060248146244143
10221222201199978
1164540899365630
122098a4176b3ab6
139659219596b24
143c8b2d6b623c6
151a8976cc34103
hexc9334eb80d6a

221222201199978 has 128 divisors (see below), whose sum is σ = 494069597374464. Its totient is φ = 65465621395200.

The previous prime is 221222201199977. The next prime is 221222201200073. The reversal of 221222201199978 is 879991102222122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (221222201199977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 877945488 + ... + 878197428.

It is an arithmetic number, because the mean of its divisors is an integer number (3859918729488).

Almost surely, 2221222201199978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221222201199978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247034798687232).

221222201199978 is an abundant number, since it is smaller than the sum of its proper divisors (272847396174486).

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

221222201199978 is a wasteful number, since it uses less digits than its factorization.

221222201199978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253180.

The product of its (nonzero) digits is 2612736, while the sum is 57.

The spelling of 221222201199978 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, two hundred one million, one hundred ninety-nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 283 318 566 583 849 887 1166 1698 1749 1774 2661 3113 3498 5322 6226 9339 9757 14999 18678 19514 29271 29998 44997 47011 58542 89994 94022 141033 164989 251021 251941 282066 329978 494967 502042 503882 517121 753063 755823 989934 1034242 1506126 1511646 1551363 2761231 2771351 3102726 5522462 5542702 8283693 8314053 13304113 13352873 16567386 16628106 26608226 26705746 39912339 40058619 71299303 79824678 80117238 142598606 146345243 146881603 213897909 223471667 292690486 293763206 427795818 439035729 440644809 446943334 670415001 784292333 878071458 881289618 1340830002 1568584666 2352876999 2458188337 3778863059 4705753998 4916376674 7374565011 7557726118 11336589177 11843998351 14749130022 22673178354 23687996702 35531995053 41567493649 63242481761 71063990106 83134987298 124702480947 126484963522 130283981861 189727445283 249404961894 260567963722 379454890566 390851945583 695667299371 781703891166 1391334598742 2087001898113 3351851533333 4174003796226 6703703066666 10055554599999 20111109199998 36870366866663 73740733733326 110611100599989 221222201199978