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4022220420 = 2232537603937
BaseRepresentation
bin1110111110111110…
…0011011010000100
3101101022111222010200
43233233203122010
531214142023140
61503042050500
7201450211101
oct35757433204
911338458120
104022220420
111784490809
12943049a30
134c14016aa
142a2299aa8
151881b4030
hexefbe3684

4022220420 has 72 divisors (see below), whose sum is σ = 12530505624. Its totient is φ = 1043601408.

The previous prime is 4022220413. The next prime is 4022220431. The reversal of 4022220420 is 240222204.

4022220420 is a `hidden beast` number, since 4 + 0 + 22 + 220 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 268697664 + 3753522756 = 16392^2 + 61266^2 .

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 = 4022220393 and 4022220402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295309 + ... + 308628.

Almost surely, 24022220420 is an apocalyptic number.

It is an amenable number.

4022220420 is an abundant number, since it is smaller than the sum of its proper divisors (8508285204).

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

4022220420 is a wasteful number, since it uses less digits than its factorization.

4022220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603989 (or 603984 counting only the distinct ones).

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

The square root of 4022220420 is about 63420.9777597287. The cubic root of 4022220420 is about 1590.3350189983.

Adding to 4022220420 its reverse (240222204), we get a palindrome (4262442624).

The spelling of 4022220420 in words is "four billion, twenty-two million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 603937 1207874 1811811 2415748 3019685 3623622 5435433 6039370 7247244 9059055 10870866 12078740 18118110 21741732 22345669 27177165 36236220 44691338 54354330 67037007 89382676 108708660 111728345 134074014 201111021 223456690 268148028 335185035 402222042 446913380 670370070 804444084 1005555105 1340740140 2011110210 4022220420