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2270970 = 233513647
BaseRepresentation
bin1000101010011011111010
311021101012000
420222123322
51040132340
6120401430
725205622
oct10523372
94241160
102270970
111311239
12916276
13616890
14431882
152ecd30
hex22a6fa

2270970 has 64 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 558144.

The previous prime is 2270953. The next prime is 2270977. The reversal of 2270970 is 790722.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2270977) 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, 3187 + ... + 3833.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

22270970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2270970 is an abundant number, since it is smaller than the sum of its proper divisors (4260870).

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

2270970 is a wasteful number, since it uses less digits than its factorization.

2270970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 2270970 is about 1506.9737887568. The cubic root of 2270970 is about 131.4429000266.

It can be divided in two parts, 2270 and 970, that added together give a triangular number (3240 = T80).

The spelling of 2270970 in words is "two million, two hundred seventy thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 647 702 1170 1294 1755 1941 3235 3510 3882 5823 6470 8411 9705 11646 16822 17469 19410 25233 29115 34938 42055 50466 58230 75699 84110 87345 126165 151398 174690 227097 252330 378495 454194 756990 1135485 2270970