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2114931 = 371361127
BaseRepresentation
bin1000000100010101110011
310222110010210
420010111303
51020134211
6113155203
723655660
oct10042563
93873123
102114931
111214a85
1285bb03
13590850
143d0a67
152bb9a6
hex204573

2114931 has 32 divisors (see below), whose sum is σ = 3555328. Its totient is φ = 1088640.

The previous prime is 2114897. The next prime is 2114933. The reversal of 2114931 is 1394112.

It is not a de Polignac number, because 2114931 - 26 = 2114867 is a prime.

It is a super-2 number, since 2×21149312 = 8945866269522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2114898 and 2114907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114933) 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, 16590 + ... + 16716.

It is an arithmetic number, because the mean of its divisors is an integer number (111104).

22114931 is an apocalyptic number.

2114931 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2114931 is a deficient number, since it is larger than the sum of its proper divisors (1440397).

2114931 is a wasteful number, since it uses less digits than its factorization.

2114931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211.

The product of its digits is 216, while the sum is 21.

The square root of 2114931 is about 1454.2802343427. The cubic root of 2114931 is about 128.3606973001.

The spelling of 2114931 in words is "two million, one hundred fourteen thousand, nine hundred thirty-one".

Divisors: 1 3 7 13 21 39 61 91 127 183 273 381 427 793 889 1281 1651 2379 2667 4953 5551 7747 11557 16653 23241 34671 54229 100711 162687 302133 704977 2114931