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2273788380 = 2235376715287
BaseRepresentation
bin1000011110000111…
…0100000111011100
312212110112102021110
42013201310013130
514124042212010
61013343102020
7110226611433
oct20741640734
95773472243
102273788380
11a67548956
125355a1910
132a30c8616
14177da811a
15d4945120
hex878741dc

2273788380 has 96 divisors (see below), whose sum is σ = 6636704256. Its totient is φ = 581112576.

The previous prime is 2273788379. The next prime is 2273788393. The reversal of 2273788380 is 838873722.

It is a super-2 number, since 2×22737883802 = 10340227194046048800, which contains 22 as substring.

It is a congruent number.

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, 141097 + ... + 156383.

It is an arithmetic number, because the mean of its divisors is an integer number (69132336).

Almost surely, 22273788380 is an apocalyptic number.

2273788380 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 2273788380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318352128).

2273788380 is an abundant number, since it is smaller than the sum of its proper divisors (4362915876).

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

2273788380 is a wasteful number, since it uses less digits than its factorization.

2273788380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15403 (or 15401 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 2273788380 is about 47684.2571505523. The cubic root of 2273788380 is about 1314.9725314372.

It can be divided in two parts, 2273 and 788380, that added together give a triangular number (790653 = T1257).

The spelling of 2273788380 in words is "two billion, two hundred seventy-three million, seven hundred eighty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 67 74 111 134 148 185 201 222 268 335 370 402 444 555 670 740 804 1005 1110 1340 2010 2220 2479 4020 4958 7437 9916 12395 14874 15287 24790 29748 30574 37185 45861 49580 61148 74370 76435 91722 148740 152870 183444 229305 305740 458610 565619 917220 1024229 1131238 1696857 2048458 2262476 2828095 3072687 3393714 4096916 5121145 5656190 6145374 6787428 8484285 10242290 11312380 12290748 15363435 16968570 20484580 30726870 33937140 37896473 61453740 75792946 113689419 151585892 189482365 227378838 378964730 454757676 568447095 757929460 1136894190 2273788380