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2092212 = 223289653
BaseRepresentation
bin111111110110010110100
310221021222100
413332302310
51013422322
6112502100
723532513
oct7766264
93837870
102092212
1111a9a01
1284a930
135833c5
143c667a
152b4dac
hex1fecb4

2092212 has 36 divisors (see below), whose sum is σ = 5356260. Its totient is φ = 688512.

The previous prime is 2092187. The next prime is 2092217. The reversal of 2092212 is 2122902.

It can be written as a sum of positive squares in 2 ways, for example, as 443556 + 1648656 = 666^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2092217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2878 + ... + 3530.

It is an arithmetic number, because the mean of its divisors is an integer number (148785).

22092212 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 2092212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678130).

2092212 is an abundant number, since it is smaller than the sum of its proper divisors (3264048).

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

2092212 is a wasteful number, since it uses less digits than its factorization.

2092212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2092212 is about 1446.4480633607. The cubic root of 2092212 is about 127.8994164239.

It can be divided in two parts, 2092 and 212, that added together give a square (2304 = 482).

The spelling of 2092212 in words is "two million, ninety-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 653 801 1068 1306 1602 1959 2612 3204 3918 5877 7836 11754 23508 58117 116234 174351 232468 348702 523053 697404 1046106 2092212