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2245914 = 2331119199
BaseRepresentation
bin1000100100010100011010
311020002211000
420210110122
51033332124
6120045430
725042566
oct10442432
94202730
102245914
1112a4430
12903876
13608358
144266a6
152e56c9
hex22451a

2245914 has 64 divisors (see below), whose sum is σ = 5760000. Its totient is φ = 641520.

The previous prime is 2245889. The next prime is 2245931. The reversal of 2245914 is 4195422.

2245914 = 1332 + 1342 + ... + 2082.

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

It is an Ulam number.

Its product of digits (2880) is a multiple of the sum of its prime factors (240).

It is a Curzon number.

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, 11187 + ... + 11385.

It is an arithmetic number, because the mean of its divisors is an integer number (90000).

22245914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880000).

2245914 is an abundant number, since it is smaller than the sum of its proper divisors (3514086).

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

2245914 is a wasteful number, since it uses less digits than its factorization.

2245914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2245914 is about 1498.6373810899. The cubic root of 2245914 is about 130.9577005400.

The spelling of 2245914 in words is "two million, two hundred forty-five thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 199 209 297 342 398 418 513 594 597 627 1026 1194 1254 1791 1881 2189 3582 3762 3781 4378 5373 5643 6567 7562 10746 11286 11343 13134 19701 22686 34029 39402 41591 59103 68058 83182 102087 118206 124773 204174 249546 374319 748638 1122957 2245914