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221102040 = 23357983281
BaseRepresentation
bin11010010110110…
…11111111011000
3120102001010222110
431023123333120
5423100231130
633534552320
75323223235
oct1513337730
9512033873
10221102040
11103896265
12620686a0
1336a65213
142151678c
1514626ab0
hexd2dbfd8

221102040 has 128 divisors (see below), whose sum is σ = 682214400. Its totient is φ = 57308160.

The previous prime is 221102039. The next prime is 221102071. The reversal of 221102040 is 40201122.

221102040 is nontrivially palindromic in base 7.

It is a super-3 number, since 3×2211020403 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786700 + ... + 786980.

It is an arithmetic number, because the mean of its divisors is an integer number (5329800).

Almost surely, 2221102040 is an apocalyptic number.

221102040 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 221102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341107200).

221102040 is an abundant number, since it is smaller than the sum of its proper divisors (461112360).

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

221102040 is a wasteful number, since it uses less digits than its factorization.

221102040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 221102040 is about 14869.5003278523. The cubic root of 221102040 is about 604.6873962769.

Adding to 221102040 its reverse (40201122), we get a palindrome (261303162).

The spelling of 221102040 in words is "two hundred twenty-one million, one hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 83 120 158 166 237 249 281 316 332 395 415 474 498 562 632 664 790 830 843 948 996 1124 1185 1245 1405 1580 1660 1686 1896 1992 2248 2370 2490 2810 3160 3320 3372 4215 4740 4980 5620 6557 6744 8430 9480 9960 11240 13114 16860 19671 22199 23323 26228 32785 33720 39342 44398 46646 52456 65570 66597 69969 78684 88796 93292 98355 110995 116615 131140 133194 139938 157368 177592 186584 196710 221990 233230 262280 266388 279876 332985 349845 393420 443980 466460 532776 559752 665970 699690 786840 887960 932920 1331940 1399380 1842517 2663880 2798760 3685034 5527551 7370068 9212585 11055102 14740136 18425170 22110204 27637755 36850340 44220408 55275510 73700680 110551020 221102040