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2161531416 = 2331123720117
BaseRepresentation
bin1000000011010110…
…0101101000011000
312120122022011200010
42000311211220120
513411323001131
6554253041520
7104364466602
oct20065455030
95518264603
102161531416
11a0a145600
12503a862a0
13285a82b95
14167106172
15c9b6db46
hex80d65a18

2161531416 has 96 divisors (see below), whose sum is σ = 6100582320. Its totient is φ = 637274880.

The previous prime is 2161531381. The next prime is 2161531469. The reversal of 2161531416 is 6141351612.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97390 + ... + 117506.

Almost surely, 22161531416 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 2161531416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050291160).

2161531416 is an abundant number, since it is smaller than the sum of its proper divisors (3939050904).

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

2161531416 is a wasteful number, since it uses less digits than its factorization.

2161531416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20185 (or 20170 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 2161531416 is about 46492.2726482584. The cubic root of 2161531416 is about 1292.9662359017.

The spelling of 2161531416 in words is "two billion, one hundred sixty-one million, five hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 121 132 148 222 242 264 296 363 407 444 484 726 814 888 968 1221 1452 1628 2442 2904 3256 4477 4884 8954 9768 13431 17908 20117 26862 35816 40234 53724 60351 80468 107448 120702 160936 221287 241404 442574 482808 663861 744329 885148 1327722 1488658 1770296 2232987 2434157 2655444 2977316 4465974 4868314 5310888 5954632 7302471 8187619 8931948 9736628 14604942 16375238 17863896 19473256 24562857 29209884 32750476 49125714 58419768 65500952 90063809 98251428 180127618 196502856 270191427 360255236 540382854 720510472 1080765708 2161531416