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2169972 = 2232779109
BaseRepresentation
bin1000010001110001110100
311002020122100
420101301310
51023414342
6114302100
724305310
oct10216164
94066570
102169972
111252372
12887930
135ac90c
14406b40
152cce4c
hex211c74

2169972 has 72 divisors (see below), whose sum is σ = 6406400. Its totient is φ = 606528.

The previous prime is 2169967. The next prime is 2169991. The reversal of 2169972 is 2799612.

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

It is a nude number because it is divisible by every one of its digits.

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, 19854 + ... + 19962.

22169972 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 2169972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203200).

2169972 is an abundant number, since it is smaller than the sum of its proper divisors (4236428).

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

2169972 is a wasteful number, since it uses less digits than its factorization.

2169972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 200 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 2169972 is about 1473.0824824157. The cubic root of 2169972 is about 129.4647021958.

The spelling of 2169972 in words is "two million, one hundred sixty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 109 126 158 218 237 252 316 327 436 474 553 654 711 763 948 981 1106 1308 1422 1526 1659 1962 2212 2289 2844 3052 3318 3924 4578 4977 6636 6867 8611 9156 9954 13734 17222 19908 25833 27468 34444 51666 60277 77499 103332 120554 154998 180831 241108 309996 361662 542493 723324 1084986 2169972