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10223331222000 = 2435313413196789
BaseRepresentation
bin1001010011000100111000…
…0001101010000111110000
31100012100012112022211002010
42110301032001222013300
52314444340243101000
633424311124122520
72103416451405561
oct224611601520760
940170175284063
1010223331222000
113291765a53676
121191424b36440
135920960468b0
14274b51abc168
1512adeb801d50
hex94c4e06a1f0

10223331222000 has 320 divisors, whose sum is σ = 36361158986880. Its totient is φ = 2455133184000.

The previous prime is 10223331221993. The next prime is 10223331222011. The reversal of 10223331222000 is 22213332201.

It is a happy number.

It is a super-3 number, since 3×102233312220003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1599606 + ... + 4796394.

It is an arithmetic number, because the mean of its divisors is an integer number (113628621834).

Almost surely, 210223331222000 is an apocalyptic number.

10223331222000 is a gapful number since it is divisible by the number (10) 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 10223331222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18180579493440).

10223331222000 is an abundant number, since it is smaller than the sum of its proper divisors (26137827764880).

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

10223331222000 is a wasteful number, since it uses less digits than its factorization.

10223331222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196869 (or 3196853 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10223331222000 its reverse (22213332201), we get a palindrome (10245544554201).

The spelling of 10223331222000 in words is "ten trillion, two hundred twenty-three billion, three hundred thirty-one million, two hundred twenty-two thousand".