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4220014320 = 2432510158031
BaseRepresentation
bin1111101110001000…
…0100111011110000
3101220002200221100200
43323202010323300
532120310424240
61534425315200
7206401346514
oct37342047360
911802627320
104220014320
1118760a7245
12999335b00
135233957c2
142c0666144
1519a734930
hexfb884ef0

4220014320 has 120 divisors (see below), whose sum is σ = 14312780352. Its totient is φ = 1114176000.

The previous prime is 4220014297. The next prime is 4220014387. The reversal of 4220014320 is 234100224.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×42200143202 = 35617041722010124800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4220014293 and 4220014302.

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, 43705 + ... + 101735.

Almost surely, 24220014320 is an apocalyptic number.

4220014320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156390176).

4220014320 is an abundant number, since it is smaller than the sum of its proper divisors (10092766032).

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

4220014320 is a wasteful number, since it uses less digits than its factorization.

4220014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58151 (or 58142 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4220014320 is about 64961.6372946372. The cubic root of 4220014320 is about 1615.9874173938.

Adding to 4220014320 its reverse (234100224), we get a palindrome (4454114544).

The spelling of 4220014320 in words is "four billion, two hundred twenty million, fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 101 120 144 180 202 240 303 360 404 505 606 720 808 909 1010 1212 1515 1616 1818 2020 2424 3030 3636 4040 4545 4848 6060 7272 8080 9090 12120 14544 18180 24240 36360 58031 72720 116062 174093 232124 290155 348186 464248 522279 580310 696372 870465 928496 1044558 1160620 1392744 1740930 2089116 2321240 2611395 2785488 3481860 4178232 4642480 5222790 5861131 6963720 8356464 10445580 11722262 13927440 17583393 20891160 23444524 29305655 35166786 41782320 46889048 52750179 58611310 70333572 87916965 93778096 105500358 117222620 140667144 175833930 211000716 234445240 263750895 281334288 351667860 422001432 468890480 527501790 703335720 844002864 1055003580 1406671440 2110007160 4220014320