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99221022109440 = 28345721117711471
BaseRepresentation
bin10110100011110110110001…
…110001101110111100000000
3111000022102210121222121010000
4112203312301301232330000
5101001114123130000230
6551005301443040000
726620324265261100
oct2643666161567400
9430272717877100
1099221022109440
1129684443326450
12b165847670000
13434966b5529aa
141a704747d7200
15b70e76d45b60
hex5a3db1c6ef00

99221022109440 has 4320 divisors, whose sum is σ = 484090359717888. Its totient is φ = 19118260224000.

The previous prime is 99221022109439. The next prime is 99221022109441. The reversal of 99221022109440 is 4490122012299.

It is a happy number.

99221022109440 is a `hidden beast` number, since 9 + 92 + 2 + 10 + 2 + 2 + 109 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (99221022109439) and next prime (99221022109441).

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×992210221094402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99221022109441) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 67451407905 + ... + 67451409375.

Almost surely, 299221022109440 is an apocalyptic number.

99221022109440 is a gapful number since it is divisible by the number (90) 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 99221022109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242045179858944).

99221022109440 is an abundant number, since it is smaller than the sum of its proper divisors (384869337608448).

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

99221022109440 is a wasteful number, since it uses less digits than its factorization.

99221022109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 99221022109440 in words is "ninety-nine trillion, two hundred twenty-one billion, twenty-two million, one hundred nine thousand, four hundred forty".