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2278603680 = 25354747091
BaseRepresentation
bin1000011111010000…
…1011101110100000
312212210121001121220
42013310023232200
514131310304210
61014034215040
7110315545263
oct20764135640
95783531556
102278603680
11a6a237741
12537124480
132a40c3302
1417889ccda
15d5096c70
hex87d0bba0

2278603680 has 48 divisors (see below), whose sum is σ = 7177603104. Its totient is φ = 607627520.

The previous prime is 2278603637. The next prime is 2278603727. The reversal of 2278603680 is 863068722.

It is a tau number, because it is divible by the number of its divisors (48).

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2373066 + ... + 2374025.

It is an arithmetic number, because the mean of its divisors is an integer number (149533398).

Almost surely, 22278603680 is an apocalyptic number.

2278603680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2278603680 is an abundant number, since it is smaller than the sum of its proper divisors (4898999424).

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

2278603680 is a wasteful number, since it uses less digits than its factorization.

2278603680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4747109 (or 4747101 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2278603680 is about 47734.7219537309. The cubic root of 2278603680 is about 1315.9001350050.

It can be divided in two parts, 227860 and 3680, that added together give a triangular number (231540 = T680).

The spelling of 2278603680 in words is "two billion, two hundred seventy-eight million, six hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4747091 9494182 14241273 18988364 23735455 28482546 37976728 47470910 56965092 71206365 75953456 94941820 113930184 142412730 151906912 189883640 227860368 284825460 379767280 455720736 569650920 759534560 1139301840 2278603680