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213363700 = 225211316257
BaseRepresentation
bin11001011011110…
…10101111110100
3112212110222222021
430231322233310
5414110114300
633101042524
75200363414
oct1455725764
9485428867
10213363700
11aa490340
125b556444
1335285c14
14204a0644
1513ae8d1a
hexcb7abf4

213363700 has 72 divisors (see below), whose sum is σ = 521466624. Its totient is φ = 75072000.

The previous prime is 213363677. The next prime is 213363739. The reversal of 213363700 is 7363312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30972 + ... + 37228.

It is an arithmetic number, because the mean of its divisors is an integer number (7242592).

Almost surely, 2213363700 is an apocalyptic number.

213363700 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 213363700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260733312).

213363700 is an abundant number, since it is smaller than the sum of its proper divisors (308102924).

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

213363700 is a wasteful number, since it uses less digits than its factorization.

213363700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6313 (or 6306 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 213363700 is about 14606.9743615849. The cubic root of 213363700 is about 597.5489826384.

The spelling of 213363700 in words is "two hundred thirteen million, three hundred sixty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6257 6820 8525 12514 17050 25028 31285 34100 62570 68827 125140 137654 156425 193967 275308 312850 344135 387934 625700 688270 775868 969835 1376540 1720675 1939670 2133637 3441350 3879340 4267274 4849175 6882700 8534548 9698350 10668185 19396700 21336370 42672740 53340925 106681850 213363700