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2220410023040 = 27511315399151
BaseRepresentation
bin100000010011111010110…
…000000010110010000000
321212021021012012010120202
4200103322300002302000
5242334344431214130
64420013044424332
7316263554534306
oct40237260026200
97767235163522
102220410023040
11786741632420
122ba3b69a80a8
131314cb19b951
147967b4aa276
153cb581b1145
hex204fac02c80

2220410023040 has 64 divisors (see below), whose sum is σ = 5790728430720. Its totient is φ = 807421824000.

The previous prime is 2220410023019. The next prime is 2220410023043. The reversal of 2220410023040 is 403200140222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2220410023043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157692536 + ... + 157706615.

It is an arithmetic number, because the mean of its divisors is an integer number (90480131730).

Almost surely, 22220410023040 is an apocalyptic number.

2220410023040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220410023040 is an abundant number, since it is smaller than the sum of its proper divisors (3570318407680).

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

2220410023040 is a wasteful number, since it uses less digits than its factorization.

2220410023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315399181 (or 315399169 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2220410023040 its reverse (403200140222), we get a palindrome (2623610163262).

The spelling of 2220410023040 in words is "two trillion, two hundred twenty billion, four hundred ten million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 315399151 630798302 1261596604 1576995755 2523193208 3153991510 3469390661 5046386416 6307983020 6938781322 10092772832 12615966040 13877562644 17346953305 20185545664 25231932080 27755125288 34693906610 40371091328 50463864160 55510250576 69387813220 100927728320 111020501152 138775626440 201855456640 222041002304 277551252880 444082004608 555102505760 1110205011520 2220410023040