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4022442204 = 22311273137277
BaseRepresentation
bin1110111111000001…
…1001100011011100
3101101022221020100220
43233300121203130
531214221122304
61503050521340
7201452123514
oct35760314334
911338836326
104022442204
111784622400
12943136250
134c147b621
142a2316844
15188209ad9
hexefc198dc

4022442204 has 144 divisors (see below), whose sum is σ = 10572197664. Its totient is φ = 1189140480.

The previous prime is 4022442173. The next prime is 4022442247.

4022442204 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14521314 + ... + 14521590.

Almost surely, 24022442204 is an apocalyptic number.

4022442204 is a gapful number since it is divisible by the number (44) 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 4022442204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286098832).

4022442204 is an abundant number, since it is smaller than the sum of its proper divisors (6549755460).

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

4022442204 is a wasteful number, since it uses less digits than its factorization.

4022442204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4022442204 is about 63422.7262422548. The cubic root of 4022442204 is about 1590.3642486560.

It can be divided in two parts, 40224 and 42204, that added together give a palindrome (82428).

The spelling of 4022442204 in words is "four billion, twenty-two million, four hundred forty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 121 132 137 146 219 242 274 277 292 363 411 438 484 548 554 726 803 822 831 876 1108 1452 1507 1606 1644 1662 2409 3014 3047 3212 3324 4521 4818 6028 6094 8833 9042 9141 9636 10001 12188 16577 17666 18084 18282 20002 20221 26499 30003 33154 33517 35332 36564 37949 40004 40442 49731 52998 60006 60663 66308 67034 75898 80884 99462 100551 105996 110011 113847 120012 121326 134068 151796 198924 201102 220022 222431 227694 242652 330033 402204 417439 440044 444862 455388 660066 667293 834878 889724 1210121 1252317 1320132 1334586 1669756 2420242 2446741 2504634 2669172 2770277 3630363 4591829 4840484 4893482 5009268 5540554 7260726 7340223 8310831 9183658 9786964 11081108 13775487 14521452 14680446 16621662 18367316 27550974 29360892 30473047 33243324 55101948 60946094 91419141 121892188 182838282 335203517 365676564 670407034 1005610551 1340814068 2011221102 4022442204