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221035245240 = 233519257377219
BaseRepresentation
bin1100110111011010111…
…0100010111010111000
3210010112022210212020110
43031312232202322320
512110140010321430
6245313040224320
721653313404415
oct3156656427270
9703468725213
10221035245240
11858166a72a7
1236a0830b0a0
1317ac7324554
14a9aba8b10c
155b3a0347b0
hex3376ba2eb8

221035245240 has 128 divisors (see below), whose sum is σ = 700723872000. Its totient is φ = 55623057408.

The previous prime is 221035245229. The next prime is 221035245247. The reversal of 221035245240 is 42542530122.

221035245240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 221035245198 and 221035245207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221035245247) 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, 397351 + ... + 774569.

It is an arithmetic number, because the mean of its divisors is an integer number (5474405250).

Almost surely, 2221035245240 is an apocalyptic number.

221035245240 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 221035245240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350361936000).

221035245240 is an abundant number, since it is smaller than the sum of its proper divisors (479688626760).

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

221035245240 is a wasteful number, since it uses less digits than its factorization.

221035245240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377509 (or 377505 counting only the distinct ones).

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

Adding to 221035245240 its reverse (42542530122), we get a palindrome (263577775362).

The spelling of 221035245240 in words is "two hundred twenty-one billion, thirty-five million, two hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 257 285 380 456 514 570 760 771 1028 1140 1285 1542 2056 2280 2570 3084 3855 4883 5140 6168 7710 9766 10280 14649 15420 19532 24415 29298 30840 39064 48830 58596 73245 97660 117192 146490 195320 292980 377219 585960 754438 1131657 1508876 1886095 2263314 3017752 3772190 4526628 5658285 7167161 7544380 9053256 11316570 14334322 15088760 21501483 22633140 28668644 35835805 43002966 45266280 57337288 71671610 86005932 96945283 107507415 143343220 172011864 193890566 215014830 286686440 290835849 387781132 430029660 484726415 581671698 775562264 860059320 969452830 1163343396 1454179245 1841960377 1938905660 2326686792 2908358490 3683920754 3877811320 5525881131 5816716980 7367841508 9209801885 11051762262 11633433960 14735683016 18419603770 22103524524 27629405655 36839207540 44207049048 55258811310 73678415080 110517622620 221035245240