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2092030416 = 243471953229
BaseRepresentation
bin111110010110001…
…1101100111010000
312101210112011020000
41330230131213100
513241024433131
6543331250000
7102561652020
oct17454354720
95353464200
102092030416
11983995463
124a4749900
1327455a528
1415bbb3a80
15c39e0ce6
hex7cb1d9d0

2092030416 has 400 divisors, whose sum is σ = 7453987200. Its totient is φ = 553153536.

The previous prime is 2092030393. The next prime is 2092030483. The reversal of 2092030416 is 6140302902.

It is a super-2 number, since 2×20920304162 = 8753182522938266112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2092030416.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 9135390 + ... + 9135618.

It is an arithmetic number, because the mean of its divisors is an integer number (18634968).

Almost surely, 22092030416 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 2092030416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726993600).

2092030416 is an abundant number, since it is smaller than the sum of its proper divisors (5361956784).

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

2092030416 is a wasteful number, since it uses less digits than its factorization.

2092030416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2092030416 is about 45738.7190026131. The cubic root of 2092030416 is about 1278.9571616799.

It can be divided in two parts, 209 and 2030416, that added together give a square (2030625 = 14252).

The spelling of 2092030416 in words is "two billion, ninety-two million, thirty thousand, four hundred sixteen".