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2232222240 = 25354650463
BaseRepresentation
bin1000010100001101…
…0000001000100000
312202120022122020210
42011003100020200
514032422102430
61005300134120
7106213401363
oct20503201040
95676278223
102232222240
11a46038676
12523697340
13297603c81
141726680da
15d0e842b0
hex850d0220

2232222240 has 48 divisors (see below), whose sum is σ = 7031501568. Its totient is φ = 595259136.

The previous prime is 2232222233. The next prime is 2232222257. The reversal of 2232222240 is 422222322.

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

It is a super-3 number, since 3×22322222403 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 2324752 + ... + 2325711.

It is an arithmetic number, because the mean of its divisors is an integer number (146489616).

Almost surely, 22232222240 is an apocalyptic number.

2232222240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232222240 is an abundant number, since it is smaller than the sum of its proper divisors (4799279328).

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

2232222240 is a wasteful number, since it uses less digits than its factorization.

2232222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650481 (or 4650473 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2232222240 is about 47246.3992278777. The cubic root of 2232222240 is about 1306.9103888474.

Adding to 2232222240 its reverse (422222322), we get a palindrome (2654444562).

The spelling of 2232222240 in words is "two billion, two hundred thirty-two million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4650463 9300926 13951389 18601852 23252315 27902778 37203704 46504630 55805556 69756945 74407408 93009260 111611112 139513890 148814816 186018520 223222224 279027780 372037040 446444448 558055560 744074080 1116111120 2232222240