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22206504900 = 223521733131367
BaseRepresentation
bin10100101011100111…
…000101111111000100
32010022121110022221110
4110223213011333010
5330434331124100
614111310245020
71414204114536
oct245347057704
963277408843
1022206504900
119465aa1898
124378ab6770
13212b876038
141109377856
1589e820250
hex52b9c5fc4

22206504900 has 144 divisors (see below), whose sum is σ = 64876097664. Its totient is φ = 5864401920.

The previous prime is 22206504893. The next prime is 22206504907. The reversal of 22206504900 is 940560222.

It is an interprime number because it is at equal distance from previous prime (22206504893) and next prime (22206504907).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22206504907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16244017 + ... + 16245383.

It is an arithmetic number, because the mean of its divisors is an integer number (450528456).

Almost surely, 222206504900 is an apocalyptic number.

22206504900 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 22206504900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32438048832).

22206504900 is an abundant number, since it is smaller than the sum of its proper divisors (42669592764).

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

22206504900 is a wasteful number, since it uses less digits than its factorization.

22206504900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 22206504900 in words is "twenty-two billion, two hundred six million, five hundred four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 300 313 346 519 626 692 865 939 1038 1252 1367 1565 1730 1878 2076 2595 2734 3130 3460 3756 4101 4325 4695 5190 5468 6260 6835 7825 8202 8650 9390 10380 12975 13670 15650 16404 17300 18780 20505 23475 25950 27340 31300 34175 41010 46950 51900 54149 68350 82020 93900 102525 108298 136700 162447 205050 216596 236491 270745 324894 410100 427871 472982 541490 649788 709473 812235 855742 945964 1082980 1182455 1283613 1353725 1418946 1624470 1711484 2139355 2364910 2567226 2707450 2837892 3248940 3547365 4061175 4278710 4729820 5134452 5414900 5912275 6418065 7094730 8122350 8557420 10696775 11824550 12836130 14189460 16244700 17736825 21393550 23649100 25672260 32090325 35473650 42787100 64180650 70947300 74021683 128361300 148043366 222065049 296086732 370108415 444130098 740216830 888260196 1110325245 1480433660 1850542075 2220650490 3701084150 4441300980 5551626225 7402168300 11103252450 22206504900