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2196468 = 2232173797
BaseRepresentation
bin1000011000001111110100
311010120222200
420120033310
51030241333
6115024500
724445461
oct10301764
94116880
102196468
11127026a
1289b130
135bb9b1
14412668
152d5c13
hex2183f4

2196468 has 72 divisors (see below), whose sum is σ = 6099912. Its totient is φ = 663552.

The previous prime is 2196449. The next prime is 2196473. The reversal of 2196468 is 8646912.

2196468 is a `hidden beast` number, since 2 + 1 + 9 + 646 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1004004 + 1192464 = 1002^2 + 1092^2 .

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

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, 22596 + ... + 22692.

It is an arithmetic number, because the mean of its divisors is an integer number (84721).

22196468 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 2196468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049956).

2196468 is an abundant number, since it is smaller than the sum of its proper divisors (3903444).

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

2196468 is a wasteful number, since it uses less digits than its factorization.

2196468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 156 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2196468 is about 1482.0485821997. The cubic root of 2196468 is about 129.9895060563.

The spelling of 2196468 in words is "two million, one hundred ninety-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 97 102 111 148 153 194 204 222 291 306 333 388 444 582 612 629 666 873 1164 1258 1332 1649 1746 1887 2516 3298 3492 3589 3774 4947 5661 6596 7178 7548 9894 10767 11322 14356 14841 19788 21534 22644 29682 32301 43068 59364 61013 64602 122026 129204 183039 244052 366078 549117 732156 1098234 2196468