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2213108532 = 2232891096337
BaseRepresentation
bin1000001111101001…
…0101101100110100
312201020100120011200
42003322111230310
514013023433112
61003334332500
7105562053315
oct20372255464
95636316150
102213108532
11a36273218
125191ba130
1329367109b
1416dcd060c
15ce45acdc
hex83e95b34

2213108532 has 72 divisors (see below), whose sum is σ = 5709904200. Its totient is φ = 722608128.

The previous prime is 2213108531. The next prime is 2213108533. The reversal of 2213108532 is 2358013122.

2213108532 is a `hidden beast` number, since 2 + 21 + 3 + 108 + 532 = 666.

2213108532 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2213108531) and next prime (2213108533).

It can be written as a sum of positive squares in 4 ways, for example, as 137030436 + 2076078096 = 11706^2 + 45564^2 .

It is a super-2 number, since 2×22131085322 = 9795698748822390048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2213108496 and 2213108505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213108531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346068 + ... + 352404.

It is an arithmetic number, because the mean of its divisors is an integer number (79304225).

Almost surely, 22213108532 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 2213108532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854952100).

2213108532 is an abundant number, since it is smaller than the sum of its proper divisors (3496795668).

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

2213108532 is a wasteful number, since it uses less digits than its factorization.

2213108532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6545 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2213108532 is about 47043.6874830194. The cubic root of 2213108532 is about 1303.1694915231.

The spelling of 2213108532 in words is "two billion, two hundred thirteen million, one hundred eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 109 178 218 267 327 356 436 534 654 801 981 1068 1308 1602 1962 3204 3924 6337 9701 12674 19011 19402 25348 29103 38022 38804 57033 58206 76044 87309 114066 116412 174618 228132 349236 563993 690733 1127986 1381466 1691979 2072199 2255972 2762932 3383958 4144398 5075937 6216597 6767916 8288796 10151874 12433194 20303748 24866388 61475237 122950474 184425711 245900948 368851422 553277133 737702844 1106554266 2213108532