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2221429880 = 235431319859
BaseRepresentation
bin1000010001101000…
…0101010001111000
312201211000022220202
42010122011101320
514022141224010
61004232541332
7106022561645
oct20432052170
95654008822
102221429880
11a3aa3716a
1251bb51848
132952c5867
14171058dcc
15d00516a5
hex84685478

2221429880 has 64 divisors (see below), whose sum is σ = 5154019200. Its totient is φ = 861194880.

The previous prime is 2221429879. The next prime is 2221429909. The reversal of 2221429880 is 889241222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220391 + ... + 230249.

It is an arithmetic number, because the mean of its divisors is an integer number (80531550).

Almost surely, 22221429880 is an apocalyptic number.

2221429880 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 2221429880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577009600).

2221429880 is an abundant number, since it is smaller than the sum of its proper divisors (2932589320).

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

2221429880 is a wasteful number, since it uses less digits than its factorization.

2221429880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10044 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 2221429880 is about 47132.0472714691. The cubic root of 2221429880 is about 1304.8007662063.

The spelling of 2221429880 in words is "two billion, two hundred twenty-one million, four hundred twenty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 43 86 131 172 215 262 344 430 524 655 860 1048 1310 1720 2620 5240 5633 9859 11266 19718 22532 28165 39436 45064 49295 56330 78872 98590 112660 197180 225320 394360 423937 847874 1291529 1695748 2119685 2583058 3391496 4239370 5166116 6457645 8478740 10332232 12915290 16957480 25830580 51661160 55535747 111071494 222142988 277678735 444285976 555357470 1110714940 2221429880