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22202140032 = 273231096199
BaseRepresentation
bin10100101011010110…
…011100010110000000
32010022022020120110200
4110223112130112000
5330432221440112
614111032525200
71414122035142
oct245326342600
963268216420
1022202140032
119463590466
124377550800
13212a9a8387
14110895cc92
1589e25bcdc
hex52b59c580

22202140032 has 96 divisors (see below), whose sum is σ = 63919830000. Its totient is φ = 7397139456.

The previous prime is 22202140007. The next prime is 22202140033. The reversal of 22202140032 is 23004120222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×222021400322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22202139987 and 22202140014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202140033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3578469 + ... + 3584667.

Almost surely, 222202140032 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 22202140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31959915000).

22202140032 is an abundant number, since it is smaller than the sum of its proper divisors (41717689968).

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

22202140032 is a wasteful number, since it uses less digits than its factorization.

22202140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 9313 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22202140032 its reverse (23004120222), we get a palindrome (45206260254).

The spelling of 22202140032 in words is "twenty-two billion, two hundred two million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3109 6199 6218 9327 12398 12436 18597 18654 24796 24872 27981 37194 37308 49592 49744 55791 55962 74388 74616 99184 99488 111582 111924 148776 149232 198368 198976 223164 223848 297552 298464 396736 397952 446328 447696 595104 596928 793472 892656 895392 1190208 1193856 1785312 1790784 2380416 3570624 3581568 7141248 19272691 38545382 57818073 77090764 115636146 154181528 173454219 231272292 308363056 346908438 462544584 616726112 693816876 925089168 1233452224 1387633752 1850178336 2466904448 2775267504 3700356672 5550535008 7400713344 11101070016 22202140032