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2278058020 = 2257214915601
BaseRepresentation
bin1000011111001000…
…0110100000100100
312212202120100010021
42013302012200210
514131140324040
61014014404524
7110311113400
oct20762064044
95782510107
102278058020
11a699a4787
12536b00744
132a3c61b34
1417879a100
15d4eda24a
hex87c86824

2278058020 has 72 divisors (see below), whose sum is σ = 5602678200. Its totient is φ = 775756800.

The previous prime is 2278058017. The next prime is 2278058047. The reversal of 2278058020 is 208508722.

It can be written as a sum of positive squares in 4 ways, for example, as 307230784 + 1970827236 = 17528^2 + 44394^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138220 + ... + 153820.

It is an arithmetic number, because the mean of its divisors is an integer number (77814975).

Almost surely, 22278058020 is an apocalyptic number.

2278058020 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 2278058020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801339100).

2278058020 is an abundant number, since it is smaller than the sum of its proper divisors (3324620180).

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

2278058020 is a wasteful number, since it uses less digits than its factorization.

2278058020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15773 (or 15764 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 2278058020 is about 47729.0060654944. The cubic root of 2278058020 is about 1315.7950865495.

The spelling of 2278058020 in words is "two billion, two hundred seventy-eight million, fifty-eight thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 149 196 245 298 490 596 745 980 1043 1490 2086 2980 4172 5215 7301 10430 14602 15601 20860 29204 31202 36505 62404 73010 78005 109207 146020 156010 218414 312020 436828 546035 764449 1092070 1528898 2184140 2324549 3057796 3822245 4649098 7644490 9298196 11622745 15288980 16271843 23245490 32543686 46490980 65087372 81359215 113902901 162718430 227805802 325436860 455611604 569514505 1139029010 2278058020