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2025209088 = 28337192203
BaseRepresentation
bin111100010110110…
…0011110100000000
312020010210021121000
41320231203310000
513121423142323
6532543132000
7101120664450
oct17055436400
95203707530
102025209088
1194a1a5621
124862a4000
13263762796
14152d7bd60
15bcbe1e43
hex78b63d00

2025209088 has 288 divisors, whose sum is σ = 7207961600. Its totient is φ = 547928064.

The previous prime is 2025209083. The next prime is 2025209093. The reversal of 2025209088 is 8809025202.

It is an interprime number because it is at equal distance from previous prime (2025209083) and next prime (2025209093).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025209083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918195 + ... + 920397.

Almost surely, 22025209088 is an apocalyptic number.

2025209088 is a gapful number since it is divisible by the number (28) 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 2025209088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603980800).

2025209088 is an abundant number, since it is smaller than the sum of its proper divisors (5182752512).

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

2025209088 is a wasteful number, since it uses less digits than its factorization.

2025209088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2025209088 is about 45002.3231400336. The cubic root of 2025209088 is about 1265.1925400711.

The spelling of 2025209088 in words is "two billion, twenty-five million, two hundred nine thousand, eighty-eight".