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4222448440 = 235717887069
BaseRepresentation
bin1111101110101101…
…0111001100111000
3101220021021121100021
43323223113030320
532121421322230
61534553420224
7206431135210
oct37353271470
911807247307
104222448440
11187750a011
1299a10a674
13523a38702
142c0adb240
1519aa65c7a
hexfbad7338

4222448440 has 64 divisors (see below), whose sum is σ = 11496427200. Its totient is φ = 1362536448.

The previous prime is 4222448383. The next prime is 4222448441. The reversal of 4222448440 is 448442224.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 4222448396 and 4222448405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222448441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438775 + ... + 448294.

It is an arithmetic number, because the mean of its divisors is an integer number (179631675).

Almost surely, 24222448440 is an apocalyptic number.

4222448440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4222448440 is an abundant number, since it is smaller than the sum of its proper divisors (7273978760).

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

4222448440 is a wasteful number, since it uses less digits than its factorization.

4222448440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887104 (or 887100 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

The square root of 4222448440 is about 64980.3696511493. The cubic root of 4222448440 is about 1616.2980601981.

The spelling of 4222448440 in words is "four billion, two hundred twenty-two million, four hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 887069 1774138 3548276 4435345 6209483 7096552 8870690 12418966 15080173 17741380 24837932 30160346 31047415 35482760 49675864 60320692 62094830 75400865 105561211 120641384 124189660 150801730 211122422 248379320 301603460 422244844 527806055 603206920 844489688 1055612110 2111224220 4222448440