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4222772676 = 223423896367
BaseRepresentation
bin1111101110110010…
…0110010111000100
3101220021220002010000
43323230212113010
532122012211201
61535004401300
7206433655413
oct37354462704
911807802100
104222772676
111877710681
1299a246230
13523b20175
142c0b8347a
1519aacbd86
hexfbb265c4

4222772676 has 120 divisors (see below), whose sum is σ = 11650383360. Its totient is φ = 1331054208.

The previous prime is 4222772651. The next prime is 4222772693. The reversal of 4222772676 is 6762772224.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 660045 + ... + 666411.

It is an arithmetic number, because the mean of its divisors is an integer number (97086528).

Almost surely, 24222772676 is an apocalyptic number.

4222772676 is a gapful number since it is divisible by the number (46) 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 4222772676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825191680).

4222772676 is an abundant number, since it is smaller than the sum of its proper divisors (7427610684).

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

4222772676 is a wasteful number, since it uses less digits than its factorization.

4222772676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6495 (or 6484 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 4222772676 is about 64982.8644797996. The cubic root of 4222772676 is about 1616.3394302398.

The spelling of 4222772676 in words is "four billion, two hundred twenty-two million, seven hundred seventy-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 89 92 108 138 162 178 207 267 276 324 356 414 534 621 801 828 1068 1242 1602 1863 2047 2403 2484 3204 3726 4094 4806 6141 6367 7209 7452 8188 9612 12282 12734 14418 18423 19101 24564 25468 28836 36846 38202 55269 57303 73692 76404 110538 114606 146441 165807 171909 221076 229212 292882 331614 343818 439323 515727 566663 585764 663228 687636 878646 1031454 1133326 1317969 1699989 1757292 2062908 2266652 2635938 3399978 3953907 5099967 5271876 6799956 7907814 10199934 11861721 13033249 15299901 15815628 20399868 23723442 26066498 30599802 39099747 45899703 47446884 52132996 61199604 78199494 91799406 117299241 156398988 183598812 234598482 351897723 469196964 703795446 1055693169 1407590892 2111386338 4222772676