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2264123532132 = 22347111931154081
BaseRepresentation
bin100000111100101000010…
…001110110001101100100
322000110002122212110220000
4200330220101312031210
5244043411111012012
64452042440541300
7322402043325240
oct40745021661544
98013078773800
102264123532132
117a3233787840
12306976481830
131356766c4967
147b826d33420
153dd65bcbddc
hex20f28476364

2264123532132 has 480 divisors, whose sum is σ = 8018377973760. Its totient is φ = 539156736000.

The previous prime is 2264123532119. The next prime is 2264123532157. The reversal of 2264123532132 is 2312353214622.

2264123532132 is a `hidden beast` number, since 2 + 2 + 641 + 2 + 3 + 5 + 3 + 2 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14617332 + ... + 14771412.

It is an arithmetic number, because the mean of its divisors is an integer number (16704954112).

Almost surely, 22264123532132 is an apocalyptic number.

2264123532132 is a gapful number since it is divisible by the number (22) 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 2264123532132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009188986880).

2264123532132 is an abundant number, since it is smaller than the sum of its proper divisors (5754254441628).

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

2264123532132 is a wasteful number, since it uses less digits than its factorization.

2264123532132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154165 (or 154154 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 2264123532132 its reverse (2312353214622), we get a palindrome (4576476746754).

The spelling of 2264123532132 in words is "two trillion, two hundred sixty-four billion, one hundred twenty-three million, five hundred thirty-two thousand, one hundred thirty-two".