Search a number
-
+
2169840552 = 23311293337
BaseRepresentation
bin1000000101010101…
…0010001110101000
312121012221022122220
42001111102032220
513420434344202
6555151114040
7104525224515
oct20125221650
95535838586
102169840552
11a13900360
12506812920
13287701c29
1416826a30c
15ca760abc
hex815523a8

2169840552 has 128 divisors (see below), whose sum is σ = 6147273600. Its totient is φ = 632970240.

The previous prime is 2169840529. The next prime is 2169840553. The reversal of 2169840552 is 2550489612.

It is a super-2 number, since 2×21698405522 = 9416416042207329408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2169840553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6438528 + ... + 6438864.

It is an arithmetic number, because the mean of its divisors is an integer number (48025575).

Almost surely, 22169840552 is an apocalyptic number.

2169840552 is a gapful number since it is divisible by the number (22) 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 2169840552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073636800).

2169840552 is an abundant number, since it is smaller than the sum of its proper divisors (3977433048).

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

2169840552 is a wasteful number, since it uses less digits than its factorization.

2169840552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 2169840552 is about 46581.5473336814. The cubic root of 2169840552 is about 1294.6208799622.

The spelling of 2169840552 in words is "two billion, one hundred sixty-nine million, eight hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 337 348 638 674 696 841 957 1011 1276 1348 1682 1914 2022 2523 2552 2696 3364 3707 3828 4044 5046 6728 7414 7656 8088 9251 9773 10092 11121 14828 18502 19546 20184 22242 24389 27753 29319 29656 37004 39092 44484 48778 55506 58638 73167 74008 78184 88968 97556 107503 111012 117276 146334 195112 215006 222024 234552 268279 283417 292668 322509 430012 536558 566834 585336 645018 804837 850251 860024 1073116 1133668 1290036 1609674 1700502 2146232 2267336 2580072 3117587 3219348 3401004 6235174 6438696 6802008 8219093 9352761 12470348 16438186 18705522 24657279 24940696 32876372 37411044 49314558 65752744 74822088 90410023 98629116 180820046 197258232 271230069 361640092 542460138 723280184 1084920276 2169840552