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2227113800 = 2352472712
BaseRepresentation
bin1000010010111111…
…0000111101001000
312202012201002210022
42010233300331020
514030120120200
61004554440012
7106122104102
oct20457607510
95665632708
102227113800
11a4316961a
12521a33008
13296535a22
14171ad8572
15d07c5885
hex84bf0f48

2227113800 has 108 divisors (see below), whose sum is σ = 5366119065. Its totient is φ = 859611200.

The previous prime is 2227113799. The next prime is 2227113817. The reversal of 2227113800 is 83117222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2182571524 + 44542276 = 46718^2 + 6674^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33370.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2227113800.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31367765 + ... + 31367835.

Almost surely, 22227113800 is an apocalyptic number.

2227113800 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 2227113800

2227113800 is an abundant number, since it is smaller than the sum of its proper divisors (3139005265).

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

2227113800 is an equidigital number, since it uses as much as digits as its factorization.

2227113800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2227113800 is about 47192.3065763902. The cubic root of 2227113800 is about 1305.9126726769.

The spelling of 2227113800 in words is "two billion, two hundred twenty-seven million, one hundred thirteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 71 94 100 142 188 200 235 284 355 376 470 568 710 940 1175 1420 1775 1880 2209 2350 2840 3337 3550 4418 4700 5041 6674 7100 8836 9400 10082 11045 13348 14200 16685 17672 20164 22090 25205 26696 33370 40328 44180 50410 55225 66740 83425 88360 100820 110450 126025 133480 156839 166850 201640 220900 236927 252050 313678 333700 441800 473854 504100 627356 667400 784195 947708 1008200 1184635 1254712 1568390 1895416 2369270 3136780 3920975 4738540 5923175 6273560 7841950 9477080 11135569 11846350 15683900 22271138 23692700 31367800 44542276 47385400 55677845 89084552 111355690 222711380 278389225 445422760 556778450 1113556900 2227113800