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22341232040 = 2351753718731
BaseRepresentation
bin10100110011101001…
…000010010110101000
32010122222222011211112
4110303221002112220
5331223323411130
614132522045452
71420431224201
oct246351022650
963588864745
1022341232040
119525052336
1243b6049888
13215075833a
14111d2085a8
158ab584495
hex533a425a8

22341232040 has 128 divisors (see below), whose sum is σ = 54999025920. Its totient is φ = 8134963200.

The previous prime is 22341232033. The next prime is 22341232087. The reversal of 22341232040 is 4023214322.

It is a junction number, because it is equal to n+sod(n) for n = 22341231997 and 22341232015.

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, 2554475 + ... + 2563205.

It is an arithmetic number, because the mean of its divisors is an integer number (429679890).

Almost surely, 222341232040 is an apocalyptic number.

22341232040 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 22341232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27499512960).

22341232040 is an abundant number, since it is smaller than the sum of its proper divisors (32657793880).

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

22341232040 is a wasteful number, since it uses less digits than its factorization.

22341232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8883 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 22341232040 its reverse (4023214322), we get a palindrome (26364446362).

The spelling of 22341232040 in words is "twenty-two billion, three hundred forty-one million, two hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 71 85 106 136 142 170 212 265 284 340 355 424 530 568 680 710 901 1060 1207 1420 1802 2120 2414 2840 3604 3763 4505 4828 6035 7208 7526 8731 9010 9656 12070 15052 17462 18020 18815 24140 30104 34924 36040 37630 43655 48280 63971 69848 75260 87310 127942 148427 150520 174620 255884 296854 319855 349240 462743 511768 593708 619901 639710 742135 925486 1187416 1239802 1279420 1484270 1850972 2313715 2479604 2558840 2968540 3099505 3701944 4627430 4959208 5937080 6199010 7866631 9254860 10538317 12398020 15733262 18509720 21076634 24796040 31466524 32854753 39333155 42153268 52691585 62933048 65709506 78666310 84306536 105383170 131419012 157332620 164273765 210766340 262838024 314665240 328547530 421532680 558530801 657095060 1117061602 1314190120 2234123204 2792654005 4468246408 5585308010 11170616020 22341232040