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2234041040 = 2457113111699
BaseRepresentation
bin1000010100101000…
…1100001011010000
312202200202001011202
42011022030023100
514033403303130
61005403130332
7106235015120
oct20512141320
95680661152
102234041040
11a47070110
125242139a8
13297abca9a
141729bcc80
15d11e3145
hex8528c2d0

2234041040 has 160 divisors (see below), whose sum is σ = 6685286400. Its totient is φ = 673804800.

The previous prime is 2234041039. The next prime is 2234041091. The reversal of 2234041040 is 401404322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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, 185111 + ... + 196809.

It is an arithmetic number, because the mean of its divisors is an integer number (41783040).

Almost surely, 22234041040 is an apocalyptic number.

2234041040 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 2234041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342643200).

2234041040 is an abundant number, since it is smaller than the sum of its proper divisors (4451245360).

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

2234041040 is a wasteful number, since it uses less digits than its factorization.

2234041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11761 (or 11755 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2234041040 is about 47265.6433363601. The cubic root of 2234041040 is about 1307.2652464827.

Adding to 2234041040 its reverse (401404322), we get a palindrome (2635445362).

The spelling of 2234041040 in words is "two billion, two hundred thirty-four million, forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 31 35 40 44 55 56 62 70 77 80 88 110 112 124 140 154 155 176 217 220 248 280 308 310 341 385 434 440 496 560 616 620 682 770 868 880 1085 1232 1240 1364 1540 1705 1736 2170 2387 2480 2728 3080 3410 3472 4340 4774 5456 6160 6820 8680 9548 11699 11935 13640 17360 19096 23398 23870 27280 38192 46796 47740 58495 81893 93592 95480 116990 128689 163786 187184 190960 233980 257378 327572 362669 409465 467960 514756 643445 655144 725338 818930 900823 935920 1029512 1286890 1310288 1450676 1637860 1801646 1813345 2059024 2538683 2573780 2901352 3275720 3603292 3626690 3989359 4504115 5077366 5147560 5802704 6551440 7206584 7253380 7978718 9008230 10154732 10295120 12693415 14413168 14506760 15957436 18016460 19946795 20309464 25386830 27925513 29013520 31914872 36032920 39893590 40618928 50773660 55851026 63829744 72065840 79787180 101547320 111702052 139627565 159574360 203094640 223404104 279255130 319148720 446808208 558510260 1117020520 2234041040