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2272509060 = 22351915712697
BaseRepresentation
bin1000011101110011…
…1011110010000100
312212101010102101020
42013130323302010
514123230242220
61013255431140
7110213002563
oct20734736204
95771112336
102272509060
11a66854768
125350854b0
132a2a6b223
14177b53bda
15d4791040
hex8773bc84

2272509060 has 96 divisors (see below), whose sum is σ = 6741114240. Its totient is φ = 570405888.

The previous prime is 2272509011. The next prime is 2272509073. The reversal of 2272509060 is 609052722.

It is a happy number.

2272509060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 172632 + ... + 185328.

It is an arithmetic number, because the mean of its divisors is an integer number (70219940).

Almost surely, 22272509060 is an apocalyptic number.

2272509060 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 2272509060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370557120).

2272509060 is an abundant number, since it is smaller than the sum of its proper divisors (4468605180).

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

2272509060 is a wasteful number, since it uses less digits than its factorization.

2272509060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12885 (or 12883 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2272509060 is about 47670.8407729505. The cubic root of 2272509060 is about 1314.7258672833.

The spelling of 2272509060 in words is "two billion, two hundred seventy-two million, five hundred nine thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 157 190 228 285 314 380 471 570 628 785 942 1140 1570 1884 2355 2983 3140 4710 5966 8949 9420 11932 12697 14915 17898 25394 29830 35796 38091 44745 50788 59660 63485 76182 89490 126970 152364 178980 190455 241243 253940 380910 482486 723729 761820 964972 1206215 1447458 1993429 2412430 2894916 3618645 3986858 4824860 5980287 7237290 7973716 9967145 11960574 14474580 19934290 23921148 29901435 37875151 39868580 59802870 75750302 113625453 119605740 151500604 189375755 227250906 378751510 454501812 568127265 757503020 1136254530 2272509060