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2254204440 = 2332510360793
BaseRepresentation
bin1000011001011100…
…0110111000011000
312211002200110011100
42012113012320120
514104034020230
61011403231400
7106601264415
oct20627067030
95732613140
102254204440
11a57492184
1252ab18560
1329c02c6a7
1417554b10c
15d2d77660
hex865c6e18

2254204440 has 96 divisors (see below), whose sum is σ = 7397413920. Its totient is φ = 595275264.

The previous prime is 2254204411. The next prime is 2254204453. The reversal of 2254204440 is 444024522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6684 + ... + 67476.

It is an arithmetic number, because the mean of its divisors is an integer number (77056395).

Almost surely, 22254204440 is an apocalyptic number.

2254204440 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 2254204440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698706960).

2254204440 is an abundant number, since it is smaller than the sum of its proper divisors (5143209480).

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

2254204440 is a wasteful number, since it uses less digits than its factorization.

2254204440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60913 (or 60906 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 2254204440 is about 47478.4629068802. The cubic root of 2254204440 is about 1311.1863929344.

Adding to 2254204440 its reverse (444024522), we get a palindrome (2698228962).

The spelling of 2254204440 in words is "two billion, two hundred fifty-four million, two hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 103 120 180 206 309 360 412 515 618 824 927 1030 1236 1545 1854 2060 2472 3090 3708 4120 4635 6180 7416 9270 12360 18540 37080 60793 121586 182379 243172 303965 364758 486344 547137 607930 729516 911895 1094274 1215860 1459032 1823790 2188548 2431720 2735685 3647580 4377096 5471370 6261679 7295160 10942740 12523358 18785037 21885480 25046716 31308395 37570074 50093432 56355111 62616790 75140148 93925185 112710222 125233580 150280296 187850370 225420444 250467160 281775555 375700740 450840888 563551110 751401480 1127102220 2254204440