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4000042220 = 2253144914369
BaseRepresentation
bin1110111001101011…
…1100110011101100
3101022202210012100212
43232122330303230
531143002322340
61500530441552
7201060540446
oct35632746354
911282705325
104000042220
111772a12a19
129377332b8
134b99379b5
1429d365496
15186282a65
hexee6bccec

4000042220 has 48 divisors (see below), whose sum is σ = 8690976000. Its totient is φ = 1544847360.

The previous prime is 4000042187. The next prime is 4000042231. The reversal of 4000042220 is 222400004.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4000042195 and 4000042204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271196 + ... + 285564.

It is an arithmetic number, because the mean of its divisors is an integer number (181062000).

Almost surely, 24000042220 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 4000042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345488000).

4000042220 is an abundant number, since it is smaller than the sum of its proper divisors (4690933780).

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

4000042220 is a wasteful number, since it uses less digits than its factorization.

4000042220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14858 (or 14856 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4000042220 is about 63245.8869808939. The cubic root of 4000042220 is about 1587.4066369546.

Adding to 4000042220 its reverse (222400004), we get a palindrome (4222442224).

The spelling of 4000042220 in words is "four billion, forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 449 620 898 1796 2245 4490 8980 13919 14369 27838 28738 55676 57476 69595 71845 139190 143690 278380 287380 445439 890878 1781756 2227195 4454390 6451681 8908780 12903362 25806724 32258405 64516810 129033620 200002111 400004222 800008444 1000010555 2000021110 4000042220