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212861370 = 235193710093
BaseRepresentation
bin11001011000000…
…00000110111010
3112211112110220110
430230000012322
5413443030440
633042205150
75163202041
oct1454000672
9484473813
10212861370
11aa177997
125b3537b6
133513b397
14203ad558
1513a4a080
hexcb001ba

212861370 has 64 divisors (see below), whose sum is σ = 552343680. Its totient is φ = 52316928.

The previous prime is 212861353. The next prime is 212861387. The reversal of 212861370 is 73168212.

It is an interprime number because it is at equal distance from previous prime (212861353) and next prime (212861387).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16044 + ... + 26136.

It is an arithmetic number, because the mean of its divisors is an integer number (8630370).

Almost surely, 2212861370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212861370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276171840).

212861370 is an abundant number, since it is smaller than the sum of its proper divisors (339482310).

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

212861370 is a wasteful number, since it uses less digits than its factorization.

212861370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10159.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 212861370 is about 14589.7693607541. The cubic root of 212861370 is about 597.0796702958.

The spelling of 212861370 in words is "two hundred twelve million, eight hundred sixty-one thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 555 570 703 1110 1406 2109 3515 4218 7030 10093 10545 20186 21090 30279 50465 60558 100930 151395 191767 302790 373441 383534 575301 746882 958835 1120323 1150602 1867205 1917670 2240646 2876505 3734410 5601615 5753010 7095379 11203230 14190758 21286137 35476895 42572274 70953790 106430685 212861370