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4022774442 = 23443619467
BaseRepresentation
bin1110111111000110…
…1010101010101010
3101101100120010010000
43233301222222222
531214312240232
61503102003430
7201455006241
oct35761525252
911340503100
104022774442
111784829a85
12943276576
134c156690b
142a23a1958
1518827327c
hexefc6aaaa

4022774442 has 80 divisors (see below), whose sum is σ = 9375819552. Its totient is φ = 1288133280.

The previous prime is 4022774333. The next prime is 4022774467. The reversal of 4022774442 is 2444772204.

It is a super-2 number, since 2×40227744422 = 32365428422416822728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4022774397 and 4022774406.

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 39 ways as a sum of consecutive naturals, for example, 420193 + ... + 429659.

Almost surely, 24022774442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022774442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687909776).

4022774442 is an abundant number, since it is smaller than the sum of its proper divisors (5353045110).

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

4022774442 is a wasteful number, since it uses less digits than its factorization.

4022774442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9585 (or 9576 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 36.

The square root of 4022774442 is about 63425.3454227882. The cubic root of 4022774442 is about 1590.4080334070.

The spelling of 4022774442 in words is "four billion, twenty-two million, seven hundred seventy-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 43 54 61 81 86 122 129 162 183 258 366 387 549 774 1098 1161 1647 2322 2623 3294 3483 4941 5246 6966 7869 9467 9882 15738 18934 23607 28401 47214 56802 70821 85203 141642 170406 212463 255609 407081 424926 511218 577487 766827 814162 1154974 1221243 1533654 1732461 2442486 3464922 3663729 5197383 7327458 10394766 10991187 15592149 21982374 24831941 31184298 32973561 46776447 49663882 65947122 74495823 93552894 148991646 223487469 446974938 670462407 1340924814 2011387221 4022774442