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2253690 = 233517491
BaseRepresentation
bin1000100110001101111010
311020111111000
420212031322
51034104230
6120145430
725104345
oct10461572
94214430
102253690
1112aa25a
12908276
1360ba5a
1442945c
152e7b60
hex22637a

2253690 has 64 divisors (see below), whose sum is σ = 6376320. Its totient is φ = 564480.

The previous prime is 2253683. The next prime is 2253703. The reversal of 2253690 is 963522.

2253690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22536902 = 10158237232200, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4345 + ... + 4835.

It is an arithmetic number, because the mean of its divisors is an integer number (99630).

22253690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188160).

2253690 is an abundant number, since it is smaller than the sum of its proper divisors (4122630).

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

2253690 is a wasteful number, since it uses less digits than its factorization.

2253690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2253690 is about 1501.2294961131. The cubic root of 2253690 is about 131.1086641845.

The spelling of 2253690 in words is "two million, two hundred fifty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 491 510 765 918 982 1473 1530 2295 2455 2946 4419 4590 4910 7365 8347 8838 13257 14730 16694 22095 25041 26514 41735 44190 50082 66285 75123 83470 125205 132570 150246 225369 250410 375615 450738 751230 1126845 2253690