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2274074400 = 2535213233169
BaseRepresentation
bin1000011110001011…
…1001111100100000
312212111001221121210
42013202321330200
514124130340100
61013353150120
7110232212343
oct20742717440
95774057553
102274074400
11a67723834
125356bb340
132a3198870
1417804045a
15d499ec50
hex878b9f20

2274074400 has 288 divisors, whose sum is σ = 8320717440. Its totient is φ = 535265280.

The previous prime is 2274074399. The next prime is 2274074419. The reversal of 2274074400 is 44704722.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 716016 + ... + 719184.

It is an arithmetic number, because the mean of its divisors is an integer number (28891380).

Almost surely, 22274074400 is an apocalyptic number.

2274074400 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 2274074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160358720).

2274074400 is an abundant number, since it is smaller than the sum of its proper divisors (6046643040).

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

2274074400 is a wasteful number, since it uses less digits than its factorization.

2274074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 2274074400 is about 47687.2561592717. The cubic root of 2274074400 is about 1315.0276659545.

The spelling of 2274074400 in words is "two billion, two hundred seventy-four million, seventy-four thousand, four hundred".