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2022220240 = 245104924097
BaseRepresentation
bin111100010001000…
…1010000111010000
312012221011102122221
41320202022013100
513120142021430
6532355110424
7101053405555
oct17042120720
95187142587
102022220240
11948543aa7
124852a2414
13262c57231
14152800a2c
15bc80157a
hex7888a1d0

2022220240 has 40 divisors (see below), whose sum is σ = 4706339400. Its totient is φ = 808083456.

The previous prime is 2022220229. The next prime is 2022220243. The reversal of 2022220240 is 420222202.

It can be written as a sum of positive squares in 4 ways, for example, as 875449744 + 1146770496 = 29588^2 + 33864^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022220243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71872 + ... + 95968.

It is an arithmetic number, because the mean of its divisors is an integer number (117658485).

Almost surely, 22022220240 is an apocalyptic number.

2022220240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022220240 is an abundant number, since it is smaller than the sum of its proper divisors (2684119160).

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

2022220240 is a wasteful number, since it uses less digits than its factorization.

2022220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25159 (or 25153 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2022220240 is about 44969.1031709551. The cubic root of 2022220240 is about 1264.5698340009.

Adding to 2022220240 its reverse (420222202), we get a palindrome (2442442442).

The spelling of 2022220240 in words is "two billion, twenty-two million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1049 2098 4196 5245 8392 10490 16784 20980 24097 41960 48194 83920 96388 120485 192776 240970 385552 481940 963880 1927760 25277753 50555506 101111012 126388765 202222024 252777530 404444048 505555060 1011110120 2022220240