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2229672960 = 2103351272
BaseRepresentation
bin1000010011100110…
…0001110000000000
312202101112010022000
42010321201300000
514031244013320
61005125344000
7106152623154
oct20471416000
95671463260
102229672960
11a44657329
12522868000
13296c20818
141721a3064
15d0b2dc90
hex84e61c00

2229672960 has 264 divisors, whose sum is σ = 7986738960. Its totient is φ = 589897728.

The previous prime is 2229672941. The next prime is 2229672979. The reversal of 2229672960 is 692769222.

It is an interprime number because it is at equal distance from previous prime (2229672941) and next prime (2229672979).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17556417 + ... + 17556543.

Almost surely, 22229672960 is an apocalyptic number.

2229672960 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 2229672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993369480).

2229672960 is an abundant number, since it is smaller than the sum of its proper divisors (5757066000).

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

2229672960 is an equidigital number, since it uses as much as digits as its factorization.

2229672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2229672960 is about 47219.4129569608. The cubic root of 2229672960 is about 1306.4126860706.

The spelling of 2229672960 in words is "two billion, two hundred twenty-nine million, six hundred seventy-two thousand, nine hundred sixty".