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2202442080 = 25354588421
BaseRepresentation
bin1000001101000110…
…1001100101100000
312200111021122112220
42003101221211200
514002311121310
61002313551040
7105402306636
oct20321514540
95614248486
102202442080
11a30248373
12515715480
132913a8087
1416c715356
15cd550670
hex83469960

2202442080 has 48 divisors (see below), whose sum is σ = 6937694064. Its totient is φ = 587317760.

The previous prime is 2202442063. The next prime is 2202442087. The reversal of 2202442080 is 802442022.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22024420802 = 9701502231509452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2202442080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202442087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2293731 + ... + 2294690.

It is an arithmetic number, because the mean of its divisors is an integer number (144535293).

Almost surely, 22202442080 is an apocalyptic number.

2202442080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202442080 is an abundant number, since it is smaller than the sum of its proper divisors (4735251984).

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

2202442080 is a wasteful number, since it uses less digits than its factorization.

2202442080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4588439 (or 4588431 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2202442080 is about 46930.1830382111. The cubic root of 2202442080 is about 1301.0725034986.

The spelling of 2202442080 in words is "two billion, two hundred two million, four hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4588421 9176842 13765263 18353684 22942105 27530526 36707368 45884210 55061052 68826315 73414736 91768420 110122104 137652630 146829472 183536840 220244208 275305260 367073680 440488416 550610520 734147360 1101221040 2202442080