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2202420780 = 223557411579
BaseRepresentation
bin1000001101000110…
…0100011000101100
312200111020120100000
42003101210120230
514002304431110
61002313304300
7105402160560
oct20321443054
95614216300
102202420780
11a3023336a
12515705090
1329139b481
1416c70b6a0
15cd5491c0
hex8346462c

2202420780 has 288 divisors, whose sum is σ = 8116093440. Its totient is φ = 490821120.

The previous prime is 2202420767. The next prime is 2202420817. The reversal of 2202420780 is 870242022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1394031 + ... + 1395609.

It is an arithmetic number, because the mean of its divisors is an integer number (28180880).

Almost surely, 22202420780 is an apocalyptic number.

2202420780 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 2202420780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058046720).

2202420780 is an abundant number, since it is smaller than the sum of its proper divisors (5913672660).

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

2202420780 is a wasteful number, since it uses less digits than its factorization.

2202420780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2202420780 is about 46929.9561048165. The cubic root of 2202420780 is about 1301.0683092250.

The spelling of 2202420780 in words is "two billion, two hundred two million, four hundred twenty thousand, seven hundred eighty".