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210274164 = 223373149179
BaseRepresentation
bin11001000100010…
…00011101110100
3112122200000221000
430202020131310
5412312233124
632510523300
75132205132
oct1442103564
9478600830
10210274164
11a8770101
125a506530
13347438a9
141dcd8752
15136d86c9
hexc888774

210274164 has 96 divisors (see below), whose sum is σ = 559440000. Its totient is φ = 68283648.

The previous prime is 210274151. The next prime is 210274177. The reversal of 210274164 is 461472012.

It is an interprime number because it is at equal distance from previous prime (210274151) and next prime (210274177).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

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, 1174627 + ... + 1174805.

It is an arithmetic number, because the mean of its divisors is an integer number (5827500).

Almost surely, 2210274164 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 210274164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279720000).

210274164 is an abundant number, since it is smaller than the sum of its proper divisors (349165836).

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

210274164 is a wasteful number, since it uses less digits than its factorization.

210274164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 210274164 is about 14500.8332174396. The cubic root of 210274164 is about 594.6507509521.

The spelling of 210274164 in words is "two hundred ten million, two hundred seventy-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 149 179 219 292 298 358 438 447 537 596 657 716 876 894 1074 1314 1341 1611 1788 1971 2148 2628 2682 3222 3942 4023 4833 5364 6444 7884 8046 9666 10877 13067 16092 19332 21754 26134 26671 32631 39201 43508 52268 53342 65262 78402 80013 97893 106684 117603 130524 156804 160026 195786 235206 240039 293679 320052 352809 391572 470412 480078 587358 705618 720117 960156 1174716 1411236 1440234 1946983 2880468 3893966 5840949 7787932 11681898 17522847 23363796 35045694 52568541 70091388 105137082 210274164