Search a number
-
+
2240284440 = 233531602227
BaseRepresentation
bin1000010110001000…
…0000011100011000
312210010111020111210
42011202000130120
514042003100230
61010145023120
7106342050342
oct20542003430
95703436453
102240284440
11a4a644949
12526324aa0
132991977c4
14173766292
15d1a27eb0
hex85880718

2240284440 has 64 divisors (see below), whose sum is σ = 6937666560. Its totient is φ = 578136960.

The previous prime is 2240284421. The next prime is 2240284441. The reversal of 2240284440 is 444820422.

It is a super-2 number, since 2×22402844402 = 10037748744212227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2240284398 and 2240284407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240284441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297394 + ... + 304833.

It is an arithmetic number, because the mean of its divisors is an integer number (108401040).

Almost surely, 22240284440 is an apocalyptic number.

2240284440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240284440 is an abundant number, since it is smaller than the sum of its proper divisors (4697382120).

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

2240284440 is a wasteful number, since it uses less digits than its factorization.

2240284440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602272 (or 602268 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The square root of 2240284440 is about 47331.6431153621. The cubic root of 2240284440 is about 1308.4819039993.

The spelling of 2240284440 in words is "two billion, two hundred forty million, two hundred eighty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 602227 1204454 1806681 2408908 3011135 3613362 4817816 6022270 7226724 9033405 12044540 14453448 18066810 18669037 24089080 36133620 37338074 56007111 72267240 74676148 93345185 112014222 149352296 186690370 224028444 280035555 373380740 448056888 560071110 746761480 1120142220 2240284440