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2274761272 = 237234753709
BaseRepresentation
bin1000011110010110…
…0001101000111000
312212112100211211111
42013211201220320
514124314330042
61013420010104
7110241103030
oct20745415070
95775324744
102274761272
11a680528a3
12535990934
132a33793b4
1417817c8c0
15d4a88517
hex87961a38

2274761272 has 128 divisors (see below), whose sum is σ = 5300121600. Its totient is φ = 894187008.

The previous prime is 2274761267. The next prime is 2274761273. The reversal of 2274761272 is 2721674722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274761273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3208054 + ... + 3208762.

It is an arithmetic number, because the mean of its divisors is an integer number (41407200).

Almost surely, 22274761272 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 2274761272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650060800).

2274761272 is an abundant number, since it is smaller than the sum of its proper divisors (3025360328).

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

2274761272 is a wasteful number, since it uses less digits than its factorization.

2274761272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 841 counting only the distinct ones).

The product of its digits is 131712, while the sum is 40.

The square root of 2274761272 is about 47694.4574557673. The cubic root of 2274761272 is about 1315.1600516491.

The spelling of 2274761272 in words is "two billion, two hundred seventy-four million, seven hundred sixty-one thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 23 28 46 47 53 56 92 94 106 161 184 188 212 322 329 371 376 424 644 658 709 742 1081 1219 1288 1316 1418 1484 2162 2438 2491 2632 2836 2968 4324 4876 4963 4982 5672 7567 8533 8648 9752 9926 9964 15134 16307 17066 17437 19852 19928 30268 32614 33323 34132 34874 37577 39704 57293 60536 65228 66646 68264 69748 75154 114149 114586 130456 133292 139496 150308 228298 229172 233261 263039 266584 300616 401051 456596 458344 466522 526078 766429 802102 864271 913192 933044 1052156 1532858 1604204 1728542 1766119 1866088 2104312 3065716 3208408 3457084 3532238 5365003 6049897 6131432 6914168 7064476 10730006 12099794 12362833 14128952 21460012 24199588 24725666 40620737 42920024 48399176 49451332 81241474 98902664 162482948 284345159 324965896 568690318 1137380636 2274761272