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2240022402 = 232375416217
BaseRepresentation
bin1000010110000100…
…0000011110000010
312210002222221001200
42011201000132002
514041421204102
61010135242030
7106336606362
oct20541003602
95702887050
102240022402
11a4a485a92
12526219316
13299105457
141736d89a2
15d19c551c
hex85840782

2240022402 has 48 divisors (see below), whose sum is σ = 4994571192. Its totient is φ = 725034240.

The previous prime is 2240022361. The next prime is 2240022403. The reversal of 2240022402 is 2042200422.

2240022402 is a `hidden beast` number, since 2 + 240 + 0 + 22 + 402 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2220388641 + 19633761 = 47121^2 + 4431^2 .

It is a super-2 number, since 2×22400224022 = 10035400722923699208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2240022403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357198 + ... + 363414.

Almost surely, 22240022402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240022402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497285596).

2240022402 is an abundant number, since it is smaller than the sum of its proper divisors (2754548790).

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

2240022402 is a wasteful number, since it uses less digits than its factorization.

2240022402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6803 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2240022402 is about 47328.8749285254. The cubic root of 2240022402 is about 1308.4308858721.

Adding to 2240022402 its reverse (2042200422), we get a palindrome (4282222824).

The spelling of 2240022402 in words is "two billion, two hundred forty million, twenty-two thousand, four hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 541 666 1082 1623 3246 4869 6217 9738 12434 18651 20017 37302 40034 55953 60051 111906 120102 180153 230029 360306 460058 690087 1380174 2070261 3363397 4140522 6726794 10090191 20180382 30270573 60541146 124445689 248891378 373337067 746674134 1120011201 2240022402