Search a number
-
+
2209820952 = 2334111631931
BaseRepresentation
bin1000001110110111…
…0011000100011000
312201000011112110110
42003231303010120
514011203232302
61003140044320
7105522111453
oct20355630430
95630145413
102209820952
11a34428209
125180936a0
13292a8c881
1416d6b649a
15ce00bb6c
hex83b73118

2209820952 has 64 divisors (see below), whose sum is σ = 5667096960. Its totient is φ = 717651200.

The previous prime is 2209820927. The next prime is 2209820959. The reversal of 2209820952 is 2590289022.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2209820952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2209820959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1143427 + ... + 1145357.

It is an arithmetic number, because the mean of its divisors is an integer number (88548390).

Almost surely, 22209820952 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 2209820952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833548480).

2209820952 is an abundant number, since it is smaller than the sum of its proper divisors (3457276008).

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

2209820952 is a wasteful number, since it uses less digits than its factorization.

2209820952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 2209820952 is about 47008.7327206339. The cubic root of 2209820952 is about 1302.5238842122.

The spelling of 2209820952 in words is "two billion, two hundred nine million, eight hundred twenty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1163 1931 2326 3489 3862 4652 5793 6978 7724 9304 11586 13956 15448 23172 27912 46344 47683 79171 95366 143049 158342 190732 237513 286098 316684 381464 475026 572196 633368 950052 1144392 1900104 2245753 4491506 6737259 8983012 13474518 17966024 26949036 53898072 92075873 184151746 276227619 368303492 552455238 736606984 1104910476 2209820952