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1216106232 = 2331123375413
BaseRepresentation
bin100100001111100…
…0100111011111000
310010202022121010120
41020133010323320
54442310344412
6320401213240
742064506135
oct11037047370
93122277116
101216106232
11574507680
1229b331220
13164c434b3
14b772358c
1571b6cb8c
hex487c4ef8

1216106232 has 128 divisors (see below), whose sum is σ = 3555048960. Its totient is φ = 342904320.

The previous prime is 1216106231. The next prime is 1216106233. The reversal of 1216106232 is 2326016121.

It is an interprime number because it is at equal distance from previous prime (1216106231) and next prime (1216106233).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216106231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221958 + ... + 227370.

It is an arithmetic number, because the mean of its divisors is an integer number (27773820).

Almost surely, 21216106232 is an apocalyptic number.

1216106232 is a gapful number since it is divisible by the number (12) 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 1216106232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777524480).

1216106232 is an abundant number, since it is smaller than the sum of its proper divisors (2338942728).

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

1216106232 is a wasteful number, since it uses less digits than its factorization.

1216106232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1216106232 is about 34872.7147208244. The cubic root of 1216106232 is about 1067.3917407815.

The spelling of 1216106232 in words is "one billion, two hundred sixteen million, one hundred six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 37 44 46 66 69 74 88 92 111 132 138 148 184 222 253 264 276 296 407 444 506 552 759 814 851 888 1012 1221 1518 1628 1702 2024 2442 2553 3036 3256 3404 4884 5106 5413 6072 6808 9361 9768 10212 10826 16239 18722 20424 21652 28083 32478 37444 43304 56166 59543 64956 74888 112332 119086 124499 129912 178629 200281 224664 238172 248998 357258 373497 400562 476344 497996 600843 714516 746994 801124 995992 1201686 1369489 1429032 1493988 1602248 2203091 2403372 2738978 2987976 4108467 4406182 4606463 4806744 5477956 6609273 8216934 8812364 9212926 10955912 13218546 13819389 16433868 17624728 18425852 26437092 27638778 32867736 36851704 50671093 52874184 55277556 101342186 110555112 152013279 202684372 304026558 405368744 608053116 1216106232