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213197088 = 253131391229
BaseRepresentation
bin11001011010100…
…10000100100000
3112212011112102110
430231102010200
5414034301323
633053315320
75166100566
oct1455220440
9485145373
10213197088
11aa387145
125b495b40
1335228130
1420459a36
1513ab4793
hexcb52120

213197088 has 96 divisors (see below), whose sum is σ = 607521600. Its totient is φ = 65074176.

The previous prime is 213197077. The next prime is 213197099. The reversal of 213197088 is 880791312.

It is an interprime number because it is at equal distance from previous prime (213197077) and next prime (213197099).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172858 + ... + 174086.

It is an arithmetic number, because the mean of its divisors is an integer number (6328350).

Almost surely, 2213197088 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 213197088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303760800).

213197088 is an abundant number, since it is smaller than the sum of its proper divisors (394324512).

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

213197088 is a wasteful number, since it uses less digits than its factorization.

213197088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 213197088 is about 14601.2700817429. The cubic root of 213197088 is about 597.3934036014.

The spelling of 213197088 in words is "two hundred thirteen million, one hundred ninety-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 139 156 208 278 312 416 417 556 624 834 1112 1229 1248 1668 1807 2224 2458 3336 3614 3687 4448 4916 5421 6672 7228 7374 9832 10842 13344 14456 14748 15977 19664 21684 28912 29496 31954 39328 43368 47931 57824 58992 63908 86736 95862 117984 127816 170831 173472 191724 255632 341662 383448 511264 512493 683324 766896 1024986 1366648 1533792 2049972 2220803 2733296 4099944 4441606 5466592 6662409 8199888 8883212 13324818 16399776 17766424 26649636 35532848 53299272 71065696 106598544 213197088