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2202480 = 2432571923
BaseRepresentation
bin1000011001101101110000
311010220020100
420121231300
51030434410
6115112400
724502140
oct10315560
94126210
102202480
111274835
128a2700
135c1657
14414920
152d78c0
hex219b70

2202480 has 240 divisors, whose sum is σ = 9285120. Its totient is φ = 456192.

The previous prime is 2202451. The next prime is 2202493. The reversal of 2202480 is 842022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 95749 + ... + 95771.

It is an arithmetic number, because the mean of its divisors is an integer number (38688).

22202480 is an apocalyptic number.

2202480 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 2202480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642560).

2202480 is an abundant number, since it is smaller than the sum of its proper divisors (7082640).

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

2202480 is a wasteful number, since it uses less digits than its factorization.

2202480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2202480 is about 1484.0754697791. The cubic root of 2202480 is about 130.1079970420.

The spelling of 2202480 in words is "two million, two hundred two thousand, four hundred eighty".