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2240138472 = 23311132232927
BaseRepresentation
bin1000010110000101…
…1100110011101000
312210010012211021120
42011201130303220
514041433412342
61010141535240
7106340601645
oct20541346350
95703184246
102240138472
11a4a555210
12526274520
13299146230
14173728dcc
15d19e9aec
hex8585cce8

2240138472 has 128 divisors (see below), whose sum is σ = 6611189760. Its totient is φ = 623589120.

The previous prime is 2240138359. The next prime is 2240138473. The reversal of 2240138472 is 2748310422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2240138473) 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, 763873 + ... + 766799.

It is an arithmetic number, because the mean of its divisors is an integer number (51649920).

Almost surely, 22240138472 is an apocalyptic number.

2240138472 is a gapful number since it is divisible by the number (22) 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 2240138472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305594880).

2240138472 is an abundant number, since it is smaller than the sum of its proper divisors (4371051288).

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

2240138472 is a wasteful number, since it uses less digits than its factorization.

2240138472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2240138472 is about 47330.1011196891. The cubic root of 2240138472 is about 1308.4534848945.

Adding to 2240138472 its reverse (2748310422), we get a palindrome (4988448894).

The spelling of 2240138472 in words is "two billion, two hundred forty million, one hundred thirty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 223 264 286 312 429 446 572 669 858 892 1144 1338 1716 1784 2453 2676 2899 2927 3432 4906 5352 5798 5854 7359 8697 8781 9812 11596 11708 14718 17394 17562 19624 23192 23416 29436 31889 32197 34788 35124 38051 58872 63778 64394 69576 70248 76102 95667 96591 114153 127556 128788 152204 191334 193182 228306 255112 257576 304408 382668 386364 418561 456612 652721 765336 772728 837122 913224 1255683 1305442 1674244 1958163 2511366 2610884 3348488 3916326 5022732 5221768 7179931 7832652 8485373 10045464 14359862 15665304 16970746 21539793 25456119 28719724 33941492 43079586 50912238 57439448 67882984 86159172 93339103 101824476 172318344 186678206 203648952 280017309 373356412 560034618 746712824 1120069236 2240138472