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2222002464 = 253112104169
BaseRepresentation
bin1000010001110001…
…0001000100100000
312201212002102100120
42010130101010200
514022313034324
61004253120240
7106030465203
oct20434210440
95655072316
102222002464
11a40298380
12520189080
13295466376
1417116793a
15d0116179
hex84711120

2222002464 has 48 divisors (see below), whose sum is σ = 6363010080. Its totient is φ = 673333760.

The previous prime is 2222002457. The next prime is 2222002487. The reversal of 2222002464 is 4642002222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×22220024643 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1051029 + ... + 1053140.

It is an arithmetic number, because the mean of its divisors is an integer number (132562710).

Almost surely, 22222002464 is an apocalyptic number.

2222002464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2222002464 is an abundant number, since it is smaller than the sum of its proper divisors (4141007616).

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

2222002464 is a wasteful number, since it uses less digits than its factorization.

2222002464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104193 (or 2104185 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2222002464 is about 47138.1211335369. The cubic root of 2222002464 is about 1304.9128627539.

Adding to 2222002464 its reverse (4642002222), we get a palindrome (6864004686).

The spelling of 2222002464 in words is "two billion, two hundred twenty-two million, two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2104169 4208338 6312507 8416676 12625014 16833352 23145859 25250028 33666704 46291718 50500056 67333408 69437577 92583436 101000112 138875154 185166872 202000224 277750308 370333744 555500616 740667488 1111001232 2222002464