Search a number
-
+
244002132 = 2236117607
BaseRepresentation
bin11101000101100…
…10110101010100
3122000010121000000
432202302311110
5444431032012
640113451300
76021661323
oct1642626524
9560117000
10244002132
11115807460
1269870b30
133b72267a
14245980ba
151664bddc
hexe8b2d54

244002132 has 84 divisors (see below), whose sum is σ = 698505696. Its totient is φ = 73930320.

The previous prime is 244002107. The next prime is 244002181. The reversal of 244002132 is 231200442.

244002132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28273 + ... + 35879.

It is an arithmetic number, because the mean of its divisors is an integer number (8315544).

Almost surely, 2244002132 is an apocalyptic number.

244002132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244002132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349252848).

244002132 is an abundant number, since it is smaller than the sum of its proper divisors (454503564).

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

244002132 is a wasteful number, since it uses less digits than its factorization.

244002132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7640 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 244002132 is about 15620.5675953212. The cubic root of 244002132 is about 624.8817969529.

Adding to 244002132 its reverse (231200442), we get a palindrome (475202574).

The spelling of 244002132 in words is "two hundred forty-four million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2673 2916 3564 5346 7607 8019 10692 15214 16038 22821 30428 32076 45642 68463 83677 91284 136926 167354 205389 251031 273852 334708 410778 502062 616167 753093 821556 1004124 1232334 1506186 1848501 2259279 2464668 3012372 3697002 4518558 5545503 6777837 7394004 9037116 11091006 13555674 20333511 22182012 27111348 40667022 61000533 81334044 122001066 244002132