Search a number
-
+
222302001120 = 25351932399633
BaseRepresentation
bin1100111100001000111…
…0110101011111100000
3210020210121102201121220
43033002032311133200
512120233303013440
6250042451215040
722026564555303
oct3170216653740
9706717381556
10222302001120
1186306758791
12371005a7480
1317c698bca44
14aa8bdd6b3a
155bb13598d0
hex33c23b57e0

222302001120 has 96 divisors (see below), whose sum is σ = 703879841952. Its totient is φ = 58973356032.

The previous prime is 222302001101. The next prime is 222302001121. The reversal of 222302001120 is 21100203222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 222302001120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222302001121) 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, 1107177 + ... + 1292456.

It is an arithmetic number, because the mean of its divisors is an integer number (7332081687).

Almost surely, 2222302001120 is an apocalyptic number.

222302001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222302001120 is an abundant number, since it is smaller than the sum of its proper divisors (481577840832).

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

222302001120 is a wasteful number, since it uses less digits than its factorization.

222302001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399844 (or 2399836 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 222302001120 its reverse (21100203222), we get a palindrome (243402204342).

The spelling of 222302001120 in words is "two hundred twenty-two billion, three hundred two million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 193 240 386 480 579 772 965 1158 1544 1930 2316 2895 3088 3860 4632 5790 6176 7720 9264 11580 15440 18528 23160 30880 46320 92640 2399633 4799266 7198899 9598532 11998165 14397798 19197064 23996330 28795596 35994495 38394128 47992660 57591192 71988990 76788256 95985320 115182384 143977980 191970640 230364768 287955960 383941280 463129169 575911920 926258338 1151823840 1389387507 1852516676 2315645845 2778775014 3705033352 4631291690 5557550028 6946937535 7410066704 9262583380 11115100056 13893875070 14820133408 18525166760 22230200112 27787750140 37050333520 44460400224 55575500280 74100667040 111151000560 222302001120