Search a number
-
+
22340683024 = 24112432792
BaseRepresentation
bin10100110011100110…
…111100010100010000
32010122221221021201121
4110303212330110100
5331223203324044
614132502212024
71420423446442
oct246346742420
963587837647
1022340683024
119524807900
1243b5a24014
1321505c548a
14111d104492
158ab4c6984
hex5339bc510

22340683024 has 135 divisors (see below), whose sum is σ = 49334387319. Its totient is φ = 9793143360.

The previous prime is 22340683019. The next prime is 22340683031. The reversal of 22340683024 is 42038604322.

The square root of 22340683024 is 149468.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×223406830242 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 282793417 + ... + 282793495.

Almost surely, 222340683024 is an apocalyptic number.

22340683024 is the 149468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22340683024

22340683024 is an abundant number, since it is smaller than the sum of its proper divisors (26993704295).

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

22340683024 is an equidigital number, since it uses as much as digits as its factorization.

22340683024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 22340683024 in words is "twenty-two billion, three hundred forty million, six hundred eighty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 43 44 79 86 88 121 158 172 176 242 316 344 473 484 632 688 869 946 968 1264 1738 1849 1892 1936 3397 3476 3698 3784 5203 6241 6794 6952 7396 7568 9559 10406 12482 13588 13904 14792 19118 20339 20812 24964 27176 29584 37367 38236 40678 41624 49928 54352 68651 74734 76472 81356 83248 99856 137302 146071 149468 152944 162712 223729 268363 274604 292142 298936 325424 411037 447458 536726 549208 584284 597872 755161 822074 894916 1073452 1098416 1168568 1510322 1606781 1644148 1789832 2146904 2337136 2951993 3020644 3213562 3288296 3579664 4293808 5903986 6041288 6427124 6576592 11539609 11807972 12082576 12854248 17674591 23079218 23615944 25708496 32471923 35349182 46158436 47231888 64943846 70698364 92316872 126935699 129887692 141396728 184633744 253871398 259775384 282793456 507742796 519550768 1015485592 1396292689 2030971184 2792585378 5585170756 11170341512 22340683024