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2111999148 = 22327174391123
BaseRepresentation
bin111110111100010…
…1000110010101100
312110012002200011200
41331320220302230
513311132433043
6545323245500
7103223460630
oct17570506254
95405080150
102111999148
11994194246
124ab379890
1327872c64c
141606d0dc0
15c56377d3
hex7de28cac

2111999148 has 144 divisors (see below), whose sum is σ = 6480714240. Its totient is φ = 566134272.

The previous prime is 2111999143. The next prime is 2111999167. The reversal of 2111999148 is 8419991112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2111999143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1880115 + ... + 1881237.

It is an arithmetic number, because the mean of its divisors is an integer number (45004960).

Almost surely, 22111999148 is an apocalyptic number.

2111999148 is a gapful number since it is divisible by the number (28) 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 2111999148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240357120).

2111999148 is an abundant number, since it is smaller than the sum of its proper divisors (4368715092).

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

2111999148 is a wasteful number, since it uses less digits than its factorization.

2111999148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1591 counting only the distinct ones).

The product of its digits is 46656, while the sum is 45.

The square root of 2111999148 is about 45956.4919026681. The cubic root of 2111999148 is about 1283.0135594718.

The spelling of 2111999148 in words is "two billion, one hundred eleven million, nine hundred ninety-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 439 476 612 714 878 1071 1123 1317 1428 1756 2142 2246 2634 3073 3369 3951 4284 4492 5268 6146 6738 7463 7861 7902 9219 10107 12292 13476 14926 15722 15804 18438 19091 20214 22389 23583 27657 29852 31444 36876 38182 40428 44778 47166 52241 55314 57273 67167 70749 76364 89556 94332 104482 110628 114546 133637 134334 141498 156723 171819 208964 229092 267274 268668 282996 313446 343638 400911 470169 492997 534548 626892 687276 801822 940338 985994 1202733 1478991 1603644 1880676 1971988 2405466 2957982 3450979 4436973 4810932 5915964 6901958 8380949 8873946 10352937 13803916 16761898 17747892 20705874 25142847 31058811 33523796 41411748 50285694 58666643 62117622 75428541 100571388 117333286 124235244 150857082 175999929 234666572 301714164 351999858 527999787 703999716 1055999574 2111999148