Search a number
-
+
22001102000 = 245317363587
BaseRepresentation
bin10100011111010111…
…100010110010110000
32002210021221210010122
4110133113202302300
5330024240231000
614035051545412
71406131165343
oct243727426260
962707853118
1022001102000
119370059629
12432015b268
1320c8149767
1410c9d8a45a
1588b79a085
hex51f5e2cb0

22001102000 has 80 divisors (see below), whose sum is σ = 53507012832. Its totient is φ = 8749433600.

The previous prime is 22001101961. The next prime is 22001102009. The reversal of 22001102000 is 20110022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (22001102009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314207 + ... + 377793.

Almost surely, 222001102000 is an apocalyptic number.

22001102000 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 22001102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26753506416).

22001102000 is an abundant number, since it is smaller than the sum of its proper divisors (31505910832).

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

22001102000 is a wasteful number, since it uses less digits than its factorization.

22001102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63783 (or 63767 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 22001102000 its reverse (20110022), we get a palindrome (22021212022).

The spelling of 22001102000 in words is "twenty-two billion, one million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 173 200 250 346 400 500 692 865 1000 1384 1730 2000 2768 3460 4325 6920 8650 13840 17300 21625 34600 43250 63587 69200 86500 127174 173000 254348 317935 346000 508696 635870 1017392 1271740 1589675 2543480 3179350 5086960 6358700 7948375 11000551 12717400 15896750 22001102 25434800 31793500 44002204 55002755 63587000 88004408 110005510 127174000 176008816 220011020 275013775 440022040 550027550 880044080 1100055100 1375068875 2200110200 2750137750 4400220400 5500275500 11000551000 22001102000