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222645540 = 223513397719
BaseRepresentation
bin11010100010101…
…00110100100100
3120111221120021010
431101110310210
5423444124130
634032022220
75342312235
oct1521246444
9514846233
10222645540
1110474a987
1262691970
1337185930
14217d908c
151482e0b0
hexd454d24

222645540 has 96 divisors (see below), whose sum is σ = 673989120. Its totient is φ = 54590976.

The previous prime is 222645523. The next prime is 222645541. The reversal of 222645540 is 45546222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 222645498 and 222645507.

It is not an unprimeable number, because it can be changed into a prime (222645541) 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, 309301 + ... + 310019.

It is an arithmetic number, because the mean of its divisors is an integer number (7020720).

Almost surely, 2222645540 is an apocalyptic number.

222645540 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 222645540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336994560).

222645540 is an abundant number, since it is smaller than the sum of its proper divisors (451343580).

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

222645540 is a wasteful number, since it uses less digits than its factorization.

222645540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 222645540 is about 14921.3116045474. The cubic root of 222645540 is about 606.0912300430.

The spelling of 222645540 in words is "two hundred twenty-two million, six hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 397 719 780 794 1191 1438 1588 1985 2157 2382 2876 3595 3970 4314 4764 5161 5955 7190 7940 8628 9347 10322 10785 11910 14380 15483 18694 20644 21570 23820 25805 28041 30966 37388 43140 46735 51610 56082 61932 77415 93470 103220 112164 140205 154830 186940 280410 285443 309660 560820 570886 856329 1141772 1427215 1712658 2854430 3425316 3710759 4281645 5708860 7421518 8563290 11132277 14843036 17126580 18553795 22264554 37107590 44529108 55661385 74215180 111322770 222645540