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2198813940 = 2232512215633
BaseRepresentation
bin1000001100001111…
…0011110011110100
312200020110022200100
42003003303303310
514000344021230
61002104114100
7105326416161
oct20303636364
95606408610
102198813940
11a2919a504
12514465930
1329070784b
1416c04d068
15cd085660
hex830f3cf4

2198813940 has 36 divisors (see below), whose sum is σ = 6669736164. Its totient is φ = 586350336.

The previous prime is 2198813923. The next prime is 2198813951. The reversal of 2198813940 is 493188912.

2198813940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 934158096 + 1264655844 = 30564^2 + 35562^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6107637 + ... + 6107996.

It is an arithmetic number, because the mean of its divisors is an integer number (185270449).

Almost surely, 22198813940 is an apocalyptic number.

2198813940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2198813940 is an abundant number, since it is smaller than the sum of its proper divisors (4470922224).

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

2198813940 is a wasteful number, since it uses less digits than its factorization.

2198813940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12215648 (or 12215643 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 2198813940 is about 46891.5124516154. The cubic root of 2198813940 is about 1300.3576806718.

It can be divided in two parts, 2198813 and 940, that added together give a triangular number (2199753 = T2097).

The spelling of 2198813940 in words is "two billion, one hundred ninety-eight million, eight hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12215633 24431266 36646899 48862532 61078165 73293798 109940697 122156330 146587596 183234495 219881394 244312660 366468990 439762788 549703485 732937980 1099406970 2198813940