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2228335872 = 28372914293
BaseRepresentation
bin1000010011010001…
…1011010100000000
312202022000012011020
42010310123110000
514030423221442
61005040545440
7106135354020
oct20464332400
95668005136
102228335872
11a439237a4
12522322280
13296873049
14171d35a80
15d09679ec
hex84d1b500

2228335872 has 144 divisors (see below), whose sum is σ = 7012064640. Its totient is φ = 614670336.

The previous prime is 2228335867. The next prime is 2228335891. The reversal of 2228335872 is 2785338222.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148758 + ... + 163050.

Almost surely, 22228335872 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 2228335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506032320).

2228335872 is an abundant number, since it is smaller than the sum of its proper divisors (4783728768).

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

2228335872 is a wasteful number, since it uses less digits than its factorization.

2228335872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14348 (or 14334 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 2228335872 is about 47205.2525890922. The cubic root of 2228335872 is about 1306.1514911115.

The spelling of 2228335872 in words is "two billion, two hundred twenty-eight million, three hundred thirty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 448 464 609 672 696 768 812 896 928 1218 1344 1392 1624 1792 1856 2436 2688 2784 3248 3712 4872 5376 5568 6496 7424 9744 11136 12992 14293 19488 22272 25984 28586 38976 42879 51968 57172 77952 85758 100051 114344 155904 171516 200102 228688 300153 343032 400204 414497 457376 600306 686064 800408 828994 914752 1200612 1243491 1372128 1600816 1657988 1829504 2401224 2486982 2744256 2901479 3201632 3315976 3659008 4802448 4973964 5488512 5802958 6403264 6631952 8704437 9604896 9947928 10977024 11605916 12806528 13263904 17408874 19209792 19895856 23211832 25613056 26527808 34817748 38419584 39791712 46423664 53055616 69635496 76839168 79583424 92847328 106111232 139270992 159166848 185694656 278541984 318333696 371389312 557083968 742778624 1114167936 2228335872