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1216811916 = 223371891783
BaseRepresentation
bin100100010000111…
…0001001110001100
310010210122110011000
41020201301032030
54443000440131
6320424300300
742103505415
oct11041611614
93123573130
101216811916
11574949891
1229b611690
1316512c768
14b786880c
1571c5bce6
hex4887138c

1216811916 has 96 divisors (see below), whose sum is σ = 3236889600. Its totient is φ = 395176320.

The previous prime is 1216811887. The next prime is 1216811917. The reversal of 1216811916 is 6191186121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1216811917) 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, 681561 + ... + 683343.

It is an arithmetic number, because the mean of its divisors is an integer number (33717600).

Almost surely, 21216811916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216811916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618444800).

1216811916 is an abundant number, since it is smaller than the sum of its proper divisors (2020077684).

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

1216811916 is a wasteful number, since it uses less digits than its factorization.

1216811916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1948 counting only the distinct ones).

The product of its digits is 5184, while the sum is 36.

The square root of 1216811916 is about 34882.8312497710. The cubic root of 1216811916 is about 1067.5981634341.

The spelling of 1216811916 in words is "one billion, two hundred sixteen million, eight hundred eleven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 89 108 142 178 213 267 284 356 426 534 639 801 852 1068 1278 1602 1783 1917 2403 2556 3204 3566 3834 4806 5349 6319 7132 7668 9612 10698 12638 16047 18957 21396 25276 32094 37914 48141 56871 64188 75828 96282 113742 126593 158687 170613 192564 227484 253186 317374 341226 379779 476061 506372 634748 682452 759558 952122 1139337 1428183 1519116 1904244 2278674 2856366 3418011 4284549 4557348 5712732 6836022 8569098 11266777 13672044 17138196 22533554 33800331 45067108 67600662 101400993 135201324 202801986 304202979 405603972 608405958 1216811916