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222132013020 = 2232519503129127
BaseRepresentation
bin1100111011100000011…
…0011000011111011100
3210020100202120102210100
43032320012120133130
512114411243404040
6250013535541100
722022431646211
oct3167006303734
9706322512710
10222132013020
1186229804155
123707368a790
1317c40612c78
14aa735c7b08
155ba147cb30
hex33b81987dc

222132013020 has 144 divisors (see below), whose sum is σ = 710679191040. Its totient is φ = 56005561728.

The previous prime is 222132013013. The next prime is 222132013069. The reversal of 222132013020 is 20310231222.

222132013020 is a `hidden beast` number, since 22 + 21 + 320 + 1 + 302 + 0 = 666.

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 = 222132012984 and 222132013002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1655697 + ... + 1784823.

It is an arithmetic number, because the mean of its divisors is an integer number (4935272160).

Almost surely, 2222132013020 is an apocalyptic number.

222132013020 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 222132013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355339595520).

222132013020 is an abundant number, since it is smaller than the sum of its proper divisors (488547178020).

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

222132013020 is a wasteful number, since it uses less digits than its factorization.

222132013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129664 (or 129659 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 222132013020 its reverse (20310231222), we get a palindrome (242442244242).

The spelling of 222132013020 in words is "two hundred twenty-two billion, one hundred thirty-two million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 503 570 684 855 1006 1140 1509 1710 2012 2515 3018 3420 4527 5030 6036 7545 9054 9557 10060 15090 18108 19114 22635 28671 30180 38228 45270 47785 57342 86013 90540 95570 114684 129127 143355 172026 191140 258254 286710 344052 387381 430065 516508 573420 645635 774762 860130 1162143 1291270 1549524 1720260 1936905 2324286 2453413 2582540 3873810 4648572 4906826 5810715 7360239 7747620 9813652 11621430 12267065 14720478 22080717 23242860 24534130 29440956 36801195 44161434 49068260 64950881 73602390 88322868 110403585 129901762 147204780 194852643 220807170 259803524 324754405 389705286 441614340 584557929 649508810 779410572 974263215 1169115858 1234066739 1299017620 1948526430 2338231716 2468133478 2922789645 3702200217 3897052860 4936266956 5845579290 6170333695 7404400434 11106600651 11691158580 12340667390 14808800868 18511001085 22213201302 24681334780 37022002170 44426402604 55533003255 74044004340 111066006510 222132013020