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2192753152 = 2928115241
BaseRepresentation
bin1000001010110010…
…1100001000000000
312122211001101211201
42002230230020000
513442321100102
61001330150544
7105224044222
oct20254541000
95584041751
102192753152
11a2582a997
12512422454
1328c394c95
1416b312412
15cc789987
hex82b2c200

2192753152 has 40 divisors (see below), whose sum is σ = 4397103612. Its totient is φ = 1092403200.

The previous prime is 2192753149. The next prime is 2192753161. The reversal of 2192753152 is 2513572912.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2063339776 + 129413376 = 45424^2 + 11376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136252 + ... + 151492.

Almost surely, 22192753152 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 2192753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198551806).

2192753152 is an abundant number, since it is smaller than the sum of its proper divisors (2204350460).

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

2192753152 is an equidigital number, since it uses as much as digits as its factorization.

2192753152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15540 (or 15524 counting only the distinct ones).

The product of its digits is 37800, while the sum is 37.

The square root of 2192753152 is about 46826.8422168311. The cubic root of 2192753152 is about 1299.1618170891.

The spelling of 2192753152 in words is "two billion, one hundred ninety-two million, seven hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 281 512 562 1124 2248 4496 8992 15241 17984 30482 35968 60964 71936 121928 143872 243856 487712 975424 1950848 3901696 4282721 7803392 8565442 17130884 34261768 68523536 137047072 274094144 548188288 1096376576 2192753152