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2202200040 = 2335374761173
BaseRepresentation
bin1000001101000010…
…1110011111101000
312200110211100112110
42003100232133220
514002230400130
61002304442320
7105400251165
oct20320563750
95613740473
102202200040
11a300a2537
125156193a0
13291321b61
1416c69106c
15cd503ab0
hex8342e7e8

2202200040 has 256 divisors, whose sum is σ = 7083832320. Its totient is φ = 546877440.

The previous prime is 2202199991. The next prime is 2202200053. The reversal of 2202200040 is 400022022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 2202199989 and 2202200025.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12729394 + ... + 12729566.

It is an arithmetic number, because the mean of its divisors is an integer number (27671220).

Almost surely, 22202200040 is an apocalyptic number.

2202200040 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 2202200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541916160).

2202200040 is an abundant number, since it is smaller than the sum of its proper divisors (4881632280).

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

2202200040 is a wasteful number, since it uses less digits than its factorization.

2202200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2202200040 is about 46927.6042431318. The cubic root of 2202200040 is about 1301.0248407809.

Adding to 2202200040 its reverse (400022022), we get a palindrome (2602222062).

The spelling of 2202200040 in words is "two billion, two hundred two million, two hundred thousand, forty".