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221002245200 = 245211443113381
BaseRepresentation
bin1100110111010011000…
…0101010010001010000
3210010110000201021200202
43031310300222101100
512110103033321300
6245305501034332
721652433042402
oct3156460522120
9703400637622
10221002245200
11857aa007940
12369b92559a8
1317ac053bbb9
14a9a753ab72
155b371b6ad5
hex3374c2a450

221002245200 has 120 divisors (see below), whose sum is σ = 580539423456. Its totient is φ = 80182336000.

The previous prime is 221002245179. The next prime is 221002245203. The reversal of 221002245200 is 2542200122.

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 (221002245203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1892510 + ... + 2005890.

Almost surely, 2221002245200 is an apocalyptic number.

221002245200 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 221002245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290269711728).

221002245200 is an abundant number, since it is smaller than the sum of its proper divisors (359537178256).

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

221002245200 is a wasteful number, since it uses less digits than its factorization.

221002245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113853 (or 113842 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 221002245200 its reverse (2542200122), we get a palindrome (223544445322).

The spelling of 221002245200 in words is "two hundred twenty-one billion, two million, two hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 443 550 880 886 1100 1772 2200 2215 3544 4400 4430 4873 7088 8860 9746 11075 17720 19492 22150 24365 35440 38984 44300 48730 77968 88600 97460 113381 121825 177200 194920 226762 243650 389840 453524 487300 566905 907048 974600 1133810 1247191 1814096 1949200 2267620 2494382 2834525 4535240 4988764 5669050 6235955 9070480 9977528 11338100 12471910 19955056 22676200 24943820 31179775 45352400 49887640 50227783 62359550 99775280 100455566 124719100 200911132 249438200 251138915 401822264 498876400 502277830 552505613 803644528 1004555660 1105011226 1255694575 2009111320 2210022452 2511389150 2762528065 4018222640 4420044904 5022778300 5525056130 8840089808 10045556600 11050112260 13812640325 20091113200 22100224520 27625280650 44200449040 55250561300 110501122600 221002245200