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4220020440 = 2332589131711
BaseRepresentation
bin1111101110001000…
…0110011011011000
3101220002201020202100
43323202012123120
532120311123230
61534425403400
7206401403406
oct37342063330
911802636670
104220020440
1118761008a9
12999339560
1352339851c
142c0668476
1519a736660
hexfb8866d8

4220020440 has 96 divisors (see below), whose sum is σ = 13869273600. Its totient is φ = 1112686080.

The previous prime is 4220020433. The next prime is 4220020477. The reversal of 4220020440 is 440200224.

4220020440 is a `hidden beast` number, since 4 + 2 + 200 + 20 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33816 + ... + 97895.

It is an arithmetic number, because the mean of its divisors is an integer number (144471600).

Almost surely, 24220020440 is an apocalyptic number.

4220020440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4220020440 is an abundant number, since it is smaller than the sum of its proper divisors (9649253160).

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

4220020440 is a wasteful number, since it uses less digits than its factorization.

4220020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131817 (or 131810 counting only the distinct ones).

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

The square root of 4220020440 is about 64961.6843993442. The cubic root of 4220020440 is about 1615.9881985790.

Adding to 4220020440 its reverse (440200224), we get a palindrome (4660220664).

The spelling of 4220020440 in words is "four billion, two hundred twenty million, twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 445 534 712 801 890 1068 1335 1602 1780 2136 2670 3204 3560 4005 5340 6408 8010 10680 16020 32040 131711 263422 395133 526844 658555 790266 1053688 1185399 1317110 1580532 1975665 2370798 2634220 3161064 3951330 4741596 5268440 5926995 7902660 9483192 11722279 11853990 15805320 23444558 23707980 35166837 46889116 47415960 58611395 70333674 93778232 105500511 117222790 140667348 175834185 211001022 234445580 281334696 351668370 422002044 468891160 527502555 703336740 844004088 1055005110 1406673480 2110010220 4220020440