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2226204420 = 2235118340639
BaseRepresentation
bin1000010010110001…
…0010111100000100
312202010222220100120
42010230102330010
514024402020140
61004523141540
7106111265616
oct20454227404
95663886316
102226204420
11a426a8370
125216748b0
132962a7b2b
1417193cdb6
15d06961d0
hex84b12f04

2226204420 has 96 divisors (see below), whose sum is σ = 6882140160. Its totient is φ = 533170560.

The previous prime is 2226204389. The next prime is 2226204439. The reversal of 2226204420 is 244026222.

It is a super-2 number, since 2×22262044202 = 9911972239255072800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34461 + ... + 75099.

It is an arithmetic number, because the mean of its divisors is an integer number (71688960).

Almost surely, 22226204420 is an apocalyptic number.

2226204420 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 2226204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441070080).

2226204420 is an abundant number, since it is smaller than the sum of its proper divisors (4655935740).

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

2226204420 is a wasteful number, since it uses less digits than its factorization.

2226204420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40745 (or 40743 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2226204420 is about 47182.6707595066. The cubic root of 2226204420 is about 1305.7349041018.

The spelling of 2226204420 in words is "two billion, two hundred twenty-six million, two hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 83 110 132 165 166 220 249 330 332 415 498 660 830 913 996 1245 1660 1826 2490 2739 3652 4565 4980 5478 9130 10956 13695 18260 27390 40639 54780 81278 121917 162556 203195 243834 406390 447029 487668 609585 812780 894058 1219170 1341087 1788116 2235145 2438340 2682174 3373037 4470290 5364348 6705435 6746074 8940580 10119111 13410870 13492148 16865185 20238222 26821740 33730370 37103407 40476444 50595555 67460740 74206814 101191110 111310221 148413628 185517035 202382220 222620442 371034070 445240884 556551105 742068140 1113102210 2226204420