Search a number
-
+
102200227040 = 2552979278809
BaseRepresentation
bin101111100101110011…
…0111011010011100000
3100202210111202110100002
41133023212323103200
53133301224231130
6114541121315132
710245421411412
oct1371346732340
9322714673302
10102200227040
113a38540025a
1217982795aa8
1398395c0532
144d3735a9b2
1529d249db45
hex17cb9bb4e0

102200227040 has 96 divisors (see below), whose sum is σ = 252936432000. Its totient is φ = 38970667008.

The previous prime is 102200226943. The next prime is 102200227043. The reversal of 102200227040 is 40722002201.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200227043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227156 + ... + 505964.

It is an arithmetic number, because the mean of its divisors is an integer number (2634754500).

Almost surely, 2102200227040 is an apocalyptic number.

102200227040 is a gapful number since it is divisible by the number (10) 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 102200227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126468216000).

102200227040 is an abundant number, since it is smaller than the sum of its proper divisors (150736204960).

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

102200227040 is a wasteful number, since it uses less digits than its factorization.

102200227040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278932 (or 278924 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

Adding to 102200227040 its reverse (40722002201), we get a palindrome (142922229241).

The spelling of 102200227040 in words is "one hundred two billion, two hundred million, two hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 79 80 116 145 158 160 232 290 316 395 464 580 632 790 928 1160 1264 1580 2291 2320 2528 3160 4582 4640 6320 9164 11455 12640 18328 22910 36656 45820 73312 91640 183280 278809 366560 557618 1115236 1394045 2230472 2788090 4460944 5576180 8085461 8921888 11152360 16170922 22025911 22304720 32341844 40427305 44051822 44609440 64683688 80854610 88103644 110129555 129367376 161709220 176207288 220259110 258734752 323418440 352414576 440518220 638751419 646836880 704829152 881036440 1277502838 1293673760 1762072880 2555005676 3193757095 3524145760 5110011352 6387514190 10220022704 12775028380 20440045408 25550056760 51100113520 102200227040