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4222004040 = 233353909263
BaseRepresentation
bin1111101110100110…
…1010101101001000
3101220020110000202000
43323221222231020
532121313112130
61534540111000
7206424304452
oct37351525510
911806400660
104222004040
111877236141
12999b35460
13523911357
142c0a232d2
1519a9c9260
hexfba6ab48

4222004040 has 64 divisors (see below), whose sum is σ = 14073350400. Its totient is φ = 1125867456.

The previous prime is 4222004027. The next prime is 4222004057. The reversal of 4222004040 is 404002224.

4222004040 is a `hidden beast` number, since 42 + 220 + 0 + 404 + 0 = 666.

It is a super-2 number, since 2×42220040402 = 35650636227552643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1953552 + ... + 1955711.

It is an arithmetic number, because the mean of its divisors is an integer number (219896100).

Almost surely, 24222004040 is an apocalyptic number.

4222004040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4222004040 is an abundant number, since it is smaller than the sum of its proper divisors (9851346360).

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

4222004040 is a wasteful number, since it uses less digits than its factorization.

4222004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909283 (or 3909273 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4222004040 is about 64976.9500669276. The cubic root of 4222004040 is about 1616.2413547053.

Adding to 4222004040 its reverse (404002224), we get a palindrome (4626006264).

The spelling of 4222004040 in words is "four billion, two hundred twenty-two million, four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 3909263 7818526 11727789 15637052 19546315 23455578 31274104 35183367 39092630 46911156 58638945 70366734 78185260 93822312 105550101 117277890 140733468 156370520 175916835 211100202 234555780 281466936 351833670 422200404 469111560 527750505 703667340 844400808 1055501010 1407334680 2111002020 4222004040