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222202020020 = 225176717356383
BaseRepresentation
bin1100111011110001000…
…1011100000010110100
3210020112122022011100012
43032330101130002310
512120032204120040
6250024520235352
722024242002231
oct3167421340264
9706478264305
10222202020020
118626527a482
123709300bb58
1317c51c84a26
14aa7ca0c788
155ba76aa865
hex33bc45c0b4

222202020020 has 96 divisors (see below), whose sum is σ = 504354428928. Its totient is φ = 81926203392.

The previous prime is 222202019999. The next prime is 222202020023. The reversal of 222202020020 is 20020202222.

It is a happy number.

222202020020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222202019977 and 222202020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222202020023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3912749 + ... + 3969131.

It is an arithmetic number, because the mean of its divisors is an integer number (5253691968).

Almost surely, 2222202020020 is an apocalyptic number.

222202020020 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 222202020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252177214464).

222202020020 is an abundant number, since it is smaller than the sum of its proper divisors (282152408908).

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

222202020020 is a wasteful number, since it uses less digits than its factorization.

222202020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56649 (or 56647 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 222202020020 its reverse (20020202222), we get a palindrome (242222222242).

The spelling of 222202020020 in words is "two hundred twenty-two billion, two hundred two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 173 268 335 340 346 670 692 865 1139 1340 1730 2278 2941 3460 4556 5695 5882 11390 11591 11764 14705 22780 23182 29410 46364 56383 57955 58820 112766 115910 197047 225532 231820 281915 394094 563830 788188 958511 985235 1127660 1917022 1970470 3777661 3834044 3940940 4792555 7555322 9585110 9754259 15110644 18888305 19170220 19508518 37776610 39017036 48771295 64220237 75553220 97542590 128440474 165822403 195085180 256880948 321101185 331644806 642202370 653535353 663289612 829112015 1284404740 1307070706 1658224030 2614141412 3267676765 3316448060 6535353530 11110101001 13070707060 22220202002 44440404004 55550505005 111101010010 222202020020