Search a number
-
+
2215452100 = 2252292712819
BaseRepresentation
bin1000010000001101…
…0001110111000100
312201101202121221111
42010003101313010
514014123431400
61003500454404
7105621014011
oct20403216704
95641677844
102215452100
11a37623a54
12519b4a404
13293cb1a04
14170340708
15ce7703ba
hex840d1dc4

2215452100 has 72 divisors (see below), whose sum is σ = 4993430400. Its totient is φ = 852163200.

The previous prime is 2215452073. The next prime is 2215452101. The reversal of 2215452100 is 12545122.

It is not an unprimeable number, because it can be changed into a prime (2215452101) 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, 784491 + ... + 787309.

It is an arithmetic number, because the mean of its divisors is an integer number (69353200).

Almost surely, 22215452100 is an apocalyptic number.

2215452100 is a gapful number since it is divisible by the number (20) 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 2215452100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496715200).

2215452100 is an abundant number, since it is smaller than the sum of its proper divisors (2777978300).

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

2215452100 is a wasteful number, since it uses less digits than its factorization.

2215452100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 2215452100 is about 47068.5893138938. The cubic root of 2215452100 is about 1303.6293257149.

Adding to 2215452100 its reverse (12545122), we get a palindrome (2227997222).

The spelling of 2215452100 in words is "two billion, two hundred fifteen million, four hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 271 290 542 580 725 1084 1355 1450 2710 2819 2900 5420 5638 6775 7859 11276 13550 14095 15718 27100 28190 31436 39295 56380 70475 78590 81751 140950 157180 163502 196475 281900 327004 392950 408755 763949 785900 817510 1527898 1635020 2043775 3055796 3819745 4087550 7639490 8175100 15278980 19098725 22154521 38197450 44309042 76394900 88618084 110772605 221545210 443090420 553863025 1107726050 2215452100