Search a number
-
+
22101524000 = 255313814001
BaseRepresentation
bin10100100101010110…
…100111111000100000
32010001021220202012222
4110211112213320200
5330230442232000
614053040210212
71411460566013
oct244526477040
963037822188
1022101524000
119411809116
124349909968
132112baa36a
1410d944b37a
158954d4a85
hex5255a7e20

22101524000 has 96 divisors (see below), whose sum is σ = 54356348592. Its totient is φ = 8832000000.

The previous prime is 22101523991. The next prime is 22101524017. The reversal of 22101524000 is 42510122.

It can be written as a sum of positive squares in 8 ways, for example, as 399520144 + 21702003856 = 19988^2 + 147316^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22101524000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5522000 + ... + 5526000.

Almost surely, 222101524000 is an apocalyptic number.

22101524000 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 22101524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27178174296).

22101524000 is an abundant number, since it is smaller than the sum of its proper divisors (32254824592).

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

22101524000 is a wasteful number, since it uses less digits than its factorization.

22101524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5407 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The spelling of 22101524000 in words is "twenty-two billion, one hundred one million, five hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1381 2000 2762 4000 4001 5524 6905 8002 11048 13810 16004 20005 22096 27620 32008 34525 40010 44192 55240 64016 69050 80020 100025 110480 128032 138100 160040 172625 200050 220960 276200 320080 345250 400100 500125 552400 640160 690500 800200 1000250 1104800 1381000 1600400 2000500 2762000 3200800 4001000 5524000 5525381 8002000 11050762 16004000 22101524 27626905 44203048 55253810 88406096 110507620 138134525 176812192 221015240 276269050 442030480 552538100 690672625 884060960 1105076200 1381345250 2210152400 2762690500 4420304800 5525381000 11050762000 22101524000