Search a number
-
+
22023312132132 = 223617942193163
BaseRepresentation
bin1010000000111101100111…
…01100100100100000100100
32212222102000111012101000000
411000132303230210200210
510341312220401212012
6114501211523021300
74432063130255523
oct500366354444044
985872014171000
1022023312132132
117021041608823
12257832280a830
13c39a3549221c
14561d10c4a4ba
15282d2477bddc
hex1407b3b24824

22023312132132 has 84 divisors (see below), whose sum is σ = 58107581597520. Its totient is φ = 7300092116592.

The previous prime is 22023312132119. The next prime is 22023312132137. The reversal of 22023312132132 is 23123121332022.

22023312132132 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 331 + 2 + 1 + 321 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22023312132096 and 22023312132105.

It is not an unprimeable number, because it can be changed into a prime (22023312132137) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20574618 + ... + 21618545.

It is an arithmetic number, because the mean of its divisors is an integer number (691756923780).

Almost surely, 222023312132132 is an apocalyptic number.

It is an amenable number.

22023312132132 is an abundant number, since it is smaller than the sum of its proper divisors (36084269465388).

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

22023312132132 is a wasteful number, since it uses less digits than its factorization.

22023312132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42193364 (or 42193347 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22023312132132 its reverse (23123121332022), we get a palindrome (45146433464154).

The spelling of 22023312132132 in words is "twenty-two trillion, twenty-three billion, three hundred twelve million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 179 243 324 358 486 537 716 729 972 1074 1458 1611 2148 2916 3222 4833 6444 9666 14499 19332 28998 43497 57996 86994 130491 173988 260982 521964 42193163 84386326 126579489 168772652 253158978 379738467 506317956 759476934 1139215401 1518953868 2278430802 3417646203 4556861604 6835292406 7552576177 10252938609 13670584812 15105152354 20505877218 22657728531 30210304708 30758815827 41011754436 45315457062 61517631654 67973185593 90630914124 123035263308 135946371186 203919556779 271892742372 407839113558 611758670337 815678227116 1223517340674 1835276011011 2447034681348 3670552022022 5505828033033 7341104044044 11011656066066 22023312132132