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200480880 = 24352336319
BaseRepresentation
bin10111111001100…
…01100001110000
3111222020111001210
423330301201300
5402310342010
631521000120
74653026235
oct1374614160
9458214053
10200480880
11a3191286
1257183040
13326c5152
141c8a978c
1512901b20
hexbf31870

200480880 has 80 divisors (see below), whose sum is σ = 648529920. Its totient is φ = 51135744.

The previous prime is 200480869. The next prime is 200480887. The reversal of 200480880 is 88084002.

200480880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2004808803 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200480887) 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, 12640 + ... + 23679.

It is an arithmetic number, because the mean of its divisors is an integer number (8106624).

Almost surely, 2200480880 is an apocalyptic number.

200480880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200480880 is an abundant number, since it is smaller than the sum of its proper divisors (448049040).

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

200480880 is a wasteful number, since it uses less digits than its factorization.

200480880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36358 (or 36352 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 200480880 is about 14159.1270917384. The cubic root of 200480880 is about 585.2718730457.

The spelling of 200480880 in words is "two hundred million, four hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 36319 72638 108957 145276 181595 217914 290552 363190 435828 544785 581104 726380 835337 871656 1089570 1452760 1670674 1743312 2179140 2506011 2905520 3341348 4176685 4358280 5012022 6682696 8353370 8716560 10024044 12530055 13365392 16706740 20048088 25060110 33413480 40096176 50120220 66826960 100240440 200480880