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2220410023000 = 2353131571087903
BaseRepresentation
bin100000010011111010110…
…000000010110001011000
321212021021012012010112021
4200103322300002301120
5242334344431214000
64420013044424224
7316263554534221
oct40237260026130
97767235163467
102220410023000
11786741632394
122ba3b69a8074
131314cb19b920
147967b4aa248
153cb581b111a
hex204fac02c58

2220410023000 has 128 divisors (see below), whose sum is σ = 5631078136320. Its totient is φ = 814621017600.

The previous prime is 2220410022997. The next prime is 2220410023001. The reversal of 2220410023000 is 3200140222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220410023001) 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, 1497049 + ... + 2584951.

It is an arithmetic number, because the mean of its divisors is an integer number (43992797940).

Almost surely, 22220410023000 is an apocalyptic number.

2220410023000 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 2220410023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815539068160).

2220410023000 is an abundant number, since it is smaller than the sum of its proper divisors (3410668113320).

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

2220410023000 is a wasteful number, since it uses less digits than its factorization.

2220410023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088094 (or 1088080 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2220410023000 its reverse (3200140222), we get a palindrome (2223610163222).

The spelling of 2220410023000 in words is "two trillion, two hundred twenty billion, four hundred ten million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 157 200 250 260 314 325 500 520 628 650 785 1000 1256 1300 1570 1625 2041 2600 3140 3250 3925 4082 6280 6500 7850 8164 10205 13000 15700 16328 19625 20410 31400 39250 40820 51025 78500 81640 102050 157000 204100 255125 408200 510250 1020500 1087903 2041000 2175806 4351612 5439515 8703224 10879030 14142739 21758060 27197575 28285478 43516120 54395150 56570956 70713695 108790300 113141912 135987875 141427390 170800771 217580600 271975750 282854780 341601542 353568475 543951500 565709560 683203084 707136950 854003855 1087903000 1366406168 1414273900 1708007710 1767842375 2220410023 2828547800 3416015420 3535684750 4270019275 4440820046 6832030840 7071369500 8540038550 8881640092 11102050115 14142739000 17080077100 17763280184 21350096375 22204100230 34160154200 42700192750 44408200460 55510250575 85400385500 88816400920 111020501150 170800771000 222041002300 277551252875 444082004600 555102505750 1110205011500 2220410023000