Search a number
-
+
2154221368 = 2313217194933
BaseRepresentation
bin1000000001100110…
…1100111100111000
312120010112210011121
42000121230330320
513402440040433
6553432235024
7104245402525
oct20031547470
95503483147
102154221368
11a06002442
1250153ba74
132843c3800
1416616214c
15c91c7c2d
hex8066cf38

2154221368 has 96 divisors (see below), whose sum is σ = 4875778800. Its totient is φ = 886339584.

The previous prime is 2154221347. The next prime is 2154221383. The reversal of 2154221368 is 8631224512.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434230 + ... + 439162.

Almost surely, 22154221368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2154221368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437889400).

2154221368 is an abundant number, since it is smaller than the sum of its proper divisors (2721557432).

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

2154221368 is a wasteful number, since it uses less digits than its factorization.

2154221368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001 (or 4984 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 2154221368 is about 46413.5903373139. The cubic root of 2154221368 is about 1291.5070358751.

The spelling of 2154221368 in words is "two billion, one hundred fifty-four million, two hundred twenty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 104 136 152 169 221 247 323 338 442 494 646 676 884 988 1292 1352 1768 1976 2584 2873 3211 4199 4933 5746 6422 8398 9866 11492 12844 16796 19732 22984 25688 33592 39464 54587 64129 83861 93727 109174 128258 167722 187454 218348 256516 335444 374908 436696 513032 670888 749816 833677 1090193 1218451 1593359 1667354 2180386 2436902 3186718 3334708 4360772 4873804 6373436 6669416 8721544 9747608 12746872 14172509 15839863 20713667 28345018 31679726 41427334 56690036 63359452 82854668 113380072 126718904 165709336 269277671 538555342 1077110684 2154221368