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2190209724 = 2232194097829
BaseRepresentation
bin1000001010001011…
…1111001010111100
312122122021011220200
42002202333022330
513441143202344
61001155443500
7105163322043
oct20242771274
95578234820
102190209724
11a24352a8a
125115b6590
1328b9b43b1
1416ac4d55a
15cc436069
hex828bf2bc

2190209724 has 72 divisors (see below), whose sum is σ = 5842746000. Its totient is φ = 689865984.

The previous prime is 2190209719. The next prime is 2190209759. The reversal of 2190209724 is 4279020912.

2190209724 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 (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, 275842 + ... + 283670.

It is an arithmetic number, because the mean of its divisors is an integer number (81149250).

Almost surely, 22190209724 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 2190209724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921373000).

2190209724 is an abundant number, since it is smaller than the sum of its proper divisors (3652536276).

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

2190209724 is a wasteful number, since it uses less digits than its factorization.

2190209724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2190209724 is about 46799.6765373437. The cubic root of 2190209724 is about 1298.6593128967.

The spelling of 2190209724 in words is "two billion, one hundred ninety million, two hundred nine thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 409 684 818 1227 1636 2454 3681 4908 7362 7771 7829 14724 15542 15658 23313 23487 31084 31316 46626 46974 69939 70461 93252 93948 139878 140922 148751 279756 281844 297502 446253 595004 892506 1338759 1785012 2677518 3202061 5355036 6404122 9606183 12808244 19212366 28818549 38424732 57637098 60839159 115274196 121678318 182517477 243356636 365034954 547552431 730069908 1095104862 2190209724