Search a number
-
+
222241043296 = 25535910321563
BaseRepresentation
bin1100111011111010011…
…0010011001101100000
3210020122100201202012201
43032332212103031200
512120122201341141
6250032432502544
722025224461556
oct3167646231540
9706570652181
10222241043296
1186285303218
12370a40aaa54
1317c5a098b1c
14aa83c89bd6
155baad18031
hex33be993360

222241043296 has 96 divisors (see below), whose sum is σ = 457770942720. Its totient is φ = 106130578944.

The previous prime is 222241043293. The next prime is 222241043317. The reversal of 222241043296 is 692340142222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222241043293) 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, 10295811 + ... + 10317373.

It is an arithmetic number, because the mean of its divisors is an integer number (4768447320).

Almost surely, 2222241043296 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 222241043296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228885471360).

222241043296 is an abundant number, since it is smaller than the sum of its proper divisors (235529899424).

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

222241043296 is a wasteful number, since it uses less digits than its factorization.

222241043296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21788 (or 21780 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 222241043296 in words is "two hundred twenty-two billion, two hundred forty-one million, forty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 53 59 103 106 118 206 212 236 412 424 472 824 848 944 1648 1696 1888 3127 3296 5459 6077 6254 10918 12154 12508 21563 21836 24308 25016 43126 43672 48616 50032 86252 87344 97232 100064 172504 174688 194464 322081 345008 644162 690016 1142839 1272217 1288324 2220989 2285678 2544434 2576648 4441978 4571356 5088868 5153296 8883956 9142712 10177736 10306592 17767912 18285424 20355472 35535824 36570848 40710944 67427501 71071648 117712417 131038351 134855002 235424834 262076702 269710004 470849668 524153404 539420008 941699336 1048306808 1078840016 1883398672 2096613616 2157680032 3766797344 4193227232 6945032603 13890065206 27780130412 55560260824 111120521648 222241043296