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4022134004 = 2272922721821
BaseRepresentation
bin1110111110111100…
…1110010011110100
3101101022100120121002
43233233032103310
531214131242004
61503040142432
7201446401130
oct35757162364
911338316532
104022134004
111784431899
12943007a18
134c13a1265
142a22763c0
1518819861e
hexefbce4f4

4022134004 has 48 divisors (see below), whose sum is σ = 8358698880. Its totient is φ = 1656923520.

The previous prime is 4022133991. The next prime is 4022134019. The reversal of 4022134004 is 4004312204.

It is a super-2 number, since 2×40221340042 = 32355123892266144032, which contains 22 as substring.

It is a congruent number.

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, 173414 + ... + 195234.

It is an arithmetic number, because the mean of its divisors is an integer number (174139560).

Almost surely, 24022134004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022134004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179349440).

4022134004 is an abundant number, since it is smaller than the sum of its proper divisors (4336564876).

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

4022134004 is a wasteful number, since it uses less digits than its factorization.

4022134004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22088 (or 22086 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4022134004 is about 63420.2964672982. The cubic root of 4022134004 is about 1590.3236296527.

Adding to 4022134004 its reverse (4004312204), we get a palindrome (8026446208).

The spelling of 4022134004 in words is "four billion, twenty-two million, one hundred thirty-four thousand, four".

Divisors: 1 2 4 7 14 28 29 58 116 203 227 406 454 812 908 1589 3178 6356 6583 13166 21821 26332 43642 46081 87284 92162 152747 184324 305494 610988 632809 1265618 2531236 4429663 4953367 8859326 9906734 17718652 19813468 34673569 69347138 138694276 143647643 287295286 574590572 1005533501 2011067002 4022134004