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2225373696 = 29337132961
BaseRepresentation
bin1000010010100100…
…1000001000000000
312202002102200211000
42010221020020000
514024143424241
61004453252000
7106101235650
oct20451101000
95662380730
102225373696
11a42190217
12521334000
13296076990
141717a4360
15d057eeb6
hex84a48200

2225373696 has 640 divisors, whose sum is σ = 8524454400. Its totient is φ = 557383680.

The previous prime is 2225373677. The next prime is 2225373701. The reversal of 2225373696 is 6963735222.

2225373696 is a `hidden beast` number, since 2 + 22 + 537 + 3 + 6 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36481506 + ... + 36481566.

It is an arithmetic number, because the mean of its divisors is an integer number (13319460).

Almost surely, 22225373696 is an apocalyptic number.

2225373696 is a gapful number since it is divisible by the number (26) 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 2225373696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262227200).

2225373696 is an abundant number, since it is smaller than the sum of its proper divisors (6299080704).

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

2225373696 is a wasteful number, since it uses less digits than its factorization.

2225373696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 2225373696 is about 47173.8666636518. The cubic root of 2225373696 is about 1305.5724691427.

The spelling of 2225373696 in words is "two billion, two hundred twenty-five million, three hundred seventy-three thousand, six hundred ninety-six".