Search a number
-
+
22368789840 = 2435234198837
BaseRepresentation
bin10100110101010010…
…001010010101010000
32010201220211021000210
4110311102022111100
5331302402233330
614135344444120
71421214401505
oct246522122520
963656737023
1022368789840
119539664981
124403319640
132156386827
141122b3d4ac
158adbc98b0
hex53548a550

22368789840 has 160 divisors (see below), whose sum is σ = 74123755776. Its totient is φ = 5566443520.

The previous prime is 22368789811. The next prime is 22368789869. The reversal of 22368789840 is 4898786322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22368789811) and next prime (22368789869).

It is a congruent number.

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, 176902 + ... + 275738.

Almost surely, 222368789840 is an apocalyptic number.

22368789840 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 22368789840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37061877888).

22368789840 is an abundant number, since it is smaller than the sum of its proper divisors (51754965936).

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

22368789840 is a wasteful number, since it uses less digits than its factorization.

22368789840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98917 (or 98911 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 22368789840 in words is "twenty-two billion, three hundred sixty-eight million, seven hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 41 46 48 60 69 80 82 92 115 120 123 138 164 184 205 230 240 246 276 328 345 368 410 460 492 552 615 656 690 820 920 943 984 1104 1230 1380 1640 1840 1886 1968 2460 2760 2829 3280 3772 4715 4920 5520 5658 7544 9430 9840 11316 14145 15088 18860 22632 28290 37720 45264 56580 75440 98837 113160 197674 226320 296511 395348 494185 593022 790696 988370 1186044 1482555 1581392 1976740 2273251 2372088 2965110 3953480 4052317 4546502 4744176 5930220 6819753 7906960 8104634 9093004 11366255 11860440 12156951 13639506 16209268 18186008 20261585 22732510 23720880 24313902 27279012 32418536 34098765 36372016 40523170 45465020 48627804 54558024 60784755 64837072 68197530 81046340 90930040 93203291 97255608 109116048 121569510 136395060 162092680 181860080 186406582 194511216 243139020 272790120 279609873 324185360 372813164 466016455 486278040 545580240 559219746 745626328 932032910 972556080 1118439492 1398049365 1491252656 1864065820 2236878984 2796098730 3728131640 4473757968 5592197460 7456263280 11184394920 22368789840