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22002310120 = 23571674191123
BaseRepresentation
bin10100011111011100…
…001001101111101000
32002210101020011100211
4110133130021233220
5330030042410440
614035133510504
71406144356510
oct243734115750
962711204324
1022002310120
11937080427a
124320642434
1320c848061b
1410ca1c2840
1588b937eea
hex51f709be8

22002310120 has 128 divisors (see below), whose sum is σ = 57102796800. Its totient is φ = 7473920256.

The previous prime is 22002310111. The next prime is 22002310193. The reversal of 22002310120 is 2101320022.

It is a self number, because there is not a number n which added to its sum of digits gives 22002310120.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19591879 + ... + 19593001.

It is an arithmetic number, because the mean of its divisors is an integer number (446115600).

Almost surely, 222002310120 is an apocalyptic number.

22002310120 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 22002310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28551398400).

22002310120 is an abundant number, since it is smaller than the sum of its proper divisors (35100486680).

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

22002310120 is a wasteful number, since it uses less digits than its factorization.

22002310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 22002310120 its reverse (2101320022), we get a palindrome (24103630142).

The spelling of 22002310120 in words is "twenty-two billion, two million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 167 280 334 419 668 835 838 1123 1169 1336 1670 1676 2095 2246 2338 2933 3340 3352 4190 4492 4676 5615 5845 5866 6680 7861 8380 8984 9352 11230 11690 11732 14665 15722 16760 22460 23380 23464 29330 31444 39305 44920 46760 58660 62888 69973 78610 117320 139946 157220 187541 279892 314440 349865 375082 470537 489811 559784 699730 750164 937705 941074 979622 1312787 1399460 1500328 1875410 1882148 1959244 2352685 2449055 2625574 2798920 3293759 3750820 3764296 3918488 4705370 4898110 5251148 6563935 6587518 7501640 9410740 9796220 10502296 13127870 13175036 16468795 18821480 19592440 26255740 26350072 32937590 52511480 65875180 78579679 131750360 157159358 314318716 392898395 550057753 628637432 785796790 1100115506 1571593580 2200231012 2750288765 3143187160 4400462024 5500577530 11001155060 22002310120