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331620020 = 225173173431
BaseRepresentation
bin10011110001000…
…001111010110100
3212010000001010222
4103301001322310
51134343320040
652523433512
711134503134
oct2361017264
9763001128
10331620020
11160211036
1293085898
135391c284
1432084ac4
151e1a7bb5
hex13c41eb4

331620020 has 96 divisors (see below), whose sum is σ = 773369856. Its totient is φ = 118886400.

The previous prime is 331620019. The next prime is 331620043. The reversal of 331620020 is 20026133.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 769205 + ... + 769635.

It is an arithmetic number, because the mean of its divisors is an integer number (8055936).

Almost surely, 2331620020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331620020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386684928).

331620020 is an abundant number, since it is smaller than the sum of its proper divisors (441749836).

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

331620020 is a wasteful number, since it uses less digits than its factorization.

331620020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 331620020 is about 18210.4371172139. The cubic root of 331620020 is about 692.1712880804.

Adding to 331620020 its reverse (20026133), we get a palindrome (351646153).

The spelling of 331620020 in words is "three hundred thirty-one million, six hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 73 85 124 146 155 170 292 310 340 365 431 527 620 730 862 1054 1241 1460 1724 2108 2155 2263 2482 2635 4310 4526 4964 5270 6205 7327 8620 9052 10540 11315 12410 13361 14654 22630 24820 26722 29308 31463 36635 38471 45260 53444 62926 66805 73270 76942 125852 133610 146540 153884 157315 192355 227137 267220 314630 384710 454274 534871 629260 769420 908548 975353 1069742 1135685 1950706 2139484 2271370 2674355 3901412 4542740 4876765 5348710 9753530 10697420 16581001 19507060 33162002 66324004 82905005 165810010 331620020