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4002230224 = 241940132831
BaseRepresentation
bin1110111010001101…
…0010111111010000
3101022220220100202001
43232203102333100
531144032331344
61501045403344
7201115252456
oct35643227720
911286810661
104002230224
111774177893
12938409554
134ba222885
1429d7749d6
15186565ed4
hexee8d2fd0

4002230224 has 40 divisors (see below), whose sum is σ = 8183047680. Its totient is φ = 1891008000.

The previous prime is 4002230201. The next prime is 4002230257. The reversal of 4002230224 is 4220322004.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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, 105489 + ... + 138319.

It is an arithmetic number, because the mean of its divisors is an integer number (204576192).

Almost surely, 24002230224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091523840).

4002230224 is an abundant number, since it is smaller than the sum of its proper divisors (4180817456).

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

4002230224 is a wasteful number, since it uses less digits than its factorization.

4002230224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33259 (or 33253 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4002230224 is about 63263.1822152506. The cubic root of 4002230224 is about 1587.6960188151.

Adding to 4002230224 its reverse (4220322004), we get a palindrome (8222552228).

The spelling of 4002230224 in words is "four billion, two million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 401 802 1604 3208 6416 7619 15238 30476 32831 60952 65662 121904 131324 262648 525296 623789 1247578 2495156 4990312 9980624 13165231 26330462 52660924 105321848 210643696 250139389 500278778 1000557556 2001115112 4002230224