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2145219552 = 2537729151
BaseRepresentation
bin111111111011101…
…0111001111100000
312112111121110000000
41333313113033200
513343134011202
6552511300000
7104106031260
oct17767271740
95474543000
102145219552
11a00a14223
124ba51a600
132825913a8
14164c9b7a0
15c84ea91c
hex7fdd73e0

2145219552 has 384 divisors, whose sum is σ = 7538227200. Its totient is φ = 587865600.

The previous prime is 2145219541. The next prime is 2145219649. The reversal of 2145219552 is 2559125412.

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

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, 14206677 + ... + 14206827.

It is an arithmetic number, because the mean of its divisors is an integer number (19630800).

Almost surely, 22145219552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145219552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769113600).

2145219552 is an abundant number, since it is smaller than the sum of its proper divisors (5393007648).

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

2145219552 is an equidigital number, since it uses as much as digits as its factorization.

2145219552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 192 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 2145219552 is about 46316.5148947975. The cubic root of 2145219552 is about 1289.7055899254.

The spelling of 2145219552 in words is "two billion, one hundred forty-five million, two hundred nineteen thousand, five hundred fifty-two".