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2274379320 = 233567457619
BaseRepresentation
bin1000011110010000…
…0100011000111000
312212111122102220010
42013210010120320
514124220114240
61013403501520
7110234622333
oct20744043070
95774572803
102274379320
11a67911934
125358278a0
132a32745a5
141780bd61a
15d4a10280
hex87904638

2274379320 has 128 divisors (see below), whose sum is σ = 6951340800. Its totient is φ = 595178496.

The previous prime is 2274379319. The next prime is 2274379321. The reversal of 2274379320 is 239734722.

It is an interprime number because it is at equal distance from previous prime (2274379319) and next prime (2274379321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274379321) 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, 3673971 + ... + 3674589.

It is an arithmetic number, because the mean of its divisors is an integer number (54307350).

Almost surely, 22274379320 is an apocalyptic number.

2274379320 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 2274379320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475670400).

2274379320 is an abundant number, since it is smaller than the sum of its proper divisors (4676961480).

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

2274379320 is a wasteful number, since it uses less digits than its factorization.

2274379320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 2274379320 is about 47690.4531326764. The cubic root of 2274379320 is about 1315.0864386307.

The spelling of 2274379320 in words is "two billion, two hundred seventy-four million, three hundred seventy-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 457 536 619 670 804 914 1005 1238 1340 1371 1608 1828 1857 2010 2285 2476 2680 2742 3095 3656 3714 4020 4570 4952 5484 6190 6855 7428 8040 9140 9285 10968 12380 13710 14856 18280 18570 24760 27420 30619 37140 41473 54840 61238 74280 82946 91857 122476 124419 153095 165892 183714 207365 244952 248838 282883 306190 331784 367428 414730 459285 497676 565766 612380 622095 734856 829460 848649 918570 995352 1131532 1224760 1244190 1414415 1658920 1697298 1837140 2263064 2488380 2828830 3394596 3674280 4243245 4976760 5657660 6789192 8486490 11315320 16972980 18953161 33945960 37906322 56859483 75812644 94765805 113718966 151625288 189531610 227437932 284297415 379063220 454875864 568594830 758126440 1137189660 2274379320