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2229722460 = 22325721012503
BaseRepresentation
bin1000010011100110…
…1101110101011100
312202101121122012100
42010321231311130
514031302104320
61005130405100
7106153220400
oct20471556534
95671548170
102229722460
11a44690539
12522890790
13296c3a204
141721b7100
15d0b3d790
hex84e6dd5c

2229722460 has 216 divisors, whose sum is σ = 7948807776. Its totient is φ = 504403200.

The previous prime is 2229722459. The next prime is 2229722497. The reversal of 2229722460 is 642279222.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 889569 + ... + 892071.

It is an arithmetic number, because the mean of its divisors is an integer number (36800036).

Almost surely, 22229722460 is an apocalyptic number.

2229722460 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 2229722460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974403888).

2229722460 is an abundant number, since it is smaller than the sum of its proper divisors (5719085316).

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

2229722460 is a wasteful number, since it uses less digits than its factorization.

2229722460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2229722460 is about 47219.9371028806. The cubic root of 2229722460 is about 1306.4223536990.

It can be divided in two parts, 22297224 and 60, that added together give a square (22297284 = 47222).

The spelling of 2229722460 in words is "two billion, two hundred twenty-nine million, seven hundred twenty-two thousand, four hundred sixty".