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2201139360 = 253457191277
BaseRepresentation
bin1000001100110010…
…1011100010100000
312200101211110120000
42003030223202200
514001442424420
61002230020000
7105355242630
oct20314534240
95611743500
102201139360
11a2a538642
125151a7600
13291040134
1416c4966c0
15cd394690
hex8332b8a0

2201139360 has 480 divisors, whose sum is σ = 9352506240. Its totient is φ = 476264448.

The previous prime is 2201139349. The next prime is 2201139397. The reversal of 2201139360 is 639311022.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723042 + ... + 1724318.

It is an arithmetic number, because the mean of its divisors is an integer number (19484388).

Almost surely, 22201139360 is an apocalyptic number.

2201139360 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 2201139360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676253120).

2201139360 is an abundant number, since it is smaller than the sum of its proper divisors (7151366880).

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

2201139360 is a wasteful number, since it uses less digits than its factorization.

2201139360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2201139360 is about 46916.3016445244. The cubic root of 2201139360 is about 1300.8159295989.

The spelling of 2201139360 in words is "two billion, two hundred one million, one hundred thirty-nine thousand, three hundred sixty".