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11222092008 = 23323137135887
BaseRepresentation
bin10100111001110001…
…11000100011101000
31001222002100100012100
422130320320203220
5140440323421013
65053320213400
7545044131261
oct123470704350
931862310170
1011222092008
11483963a906
12221230a260
13109ac4833a
147865a3968
1545a30e473
hex29ce388e8

11222092008 has 96 divisors (see below), whose sum is σ = 32221762560. Its totient is φ = 3522165120.

The previous prime is 11222091997. The next prime is 11222092009. The reversal of 11222092008 is 80029022211.

It is a super-3 number, since 3×112220920083 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11222092009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14641 + ... + 150527.

It is an arithmetic number, because the mean of its divisors is an integer number (335643360).

Almost surely, 211222092008 is an apocalyptic number.

11222092008 is a gapful number since it is divisible by the number (18) 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 11222092008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16110881280).

11222092008 is an abundant number, since it is smaller than the sum of its proper divisors (20999670552).

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

11222092008 is a wasteful number, since it uses less digits than its factorization.

11222092008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135967 (or 135960 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11222092008 in words is "eleven billion, two hundred twenty-two million, ninety-two thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 37 62 72 74 93 111 124 148 186 222 248 279 296 333 372 444 558 666 744 888 1116 1147 1332 2232 2294 2664 3441 4588 6882 9176 10323 13764 20646 27528 41292 82584 135887 271774 407661 543548 815322 1087096 1222983 1630644 2445966 3261288 4212497 4891932 5027819 8424994 9783864 10055638 12637491 15083457 16849988 20111276 25274982 30166914 33699976 37912473 40222552 45250371 50549964 60333828 75824946 90500742 101099928 120667656 151649892 155862389 181001484 303299784 311724778 362002968 467587167 623449556 935174334 1246899112 1402761501 1870348668 2805523002 3740697336 5611046004 11222092008