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2210972344152 = 23311213591079277
BaseRepresentation
bin100000001011001000001…
…110001001111101011000
321211100220110112101000020
4200023020032021331120
5242211032410003102
64411412350310440
7315510645561435
oct40131016117530
97740813471006
102210972344152
11782739280600
122b86021b8420
13130655b46b80
1479023cc2b8c
153c7a487bbbc
hex202c8389f58

2210972344152 has 384 divisors, whose sum is σ = 6716767276800. Its totient is φ = 602224634880.

The previous prime is 2210972344129. The next prime is 2210972344159. The reversal of 2210972344152 is 2514432790122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210972344159) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 238323738 + ... + 238333014.

It is an arithmetic number, because the mean of its divisors is an integer number (17491581450).

Almost surely, 22210972344152 is an apocalyptic number.

2210972344152 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 2210972344152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358383638400).

2210972344152 is an abundant number, since it is smaller than the sum of its proper divisors (4505794932648).

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

2210972344152 is a wasteful number, since it uses less digits than its factorization.

2210972344152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9487 (or 9472 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 2210972344152 in words is "two trillion, two hundred ten billion, nine hundred seventy-two million, three hundred forty-four thousand, one hundred fifty-two".