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2202900480 = 211325114153
BaseRepresentation
bin1000001101001101…
…1001100000000000
312200112010221100200
42003103121200000
514002420303410
61002331445200
7105406226244
oct20323314000
95615127320
102202900480
11a30530810
125158b6800
13291508911
1416c7d4424
15cd5e13c0
hex834d9800

2202900480 has 576 divisors, whose sum is σ = 8693062560. Its totient is φ = 511180800.

The previous prime is 2202900473. The next prime is 2202900541. The reversal of 2202900480 is 840092022.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41564134 + ... + 41564186.

Almost surely, 22202900480 is an apocalyptic number.

2202900480 is a gapful number since it is divisible by the number (20) 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 2202900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346531280).

2202900480 is an abundant number, since it is smaller than the sum of its proper divisors (6490162080).

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

2202900480 is a wasteful number, since it uses less digits than its factorization.

2202900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2202900480 is about 46935.0666346603. The cubic root of 2202900480 is about 1301.1627624386.

The spelling of 2202900480 in words is "two billion, two hundred two million, nine hundred thousand, four hundred eighty".