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214367088 = 24313834139
BaseRepresentation
bin11001100011011…
…11101101110000
3112221100222100210
430301233231300
5414334221323
633134344120
75212042635
oct1461575560
9487328323
10214367088
11100006191
125b95b040
1335547840
142068218c
1513c46293
hexcc6fb70

214367088 has 80 divisors (see below), whose sum is σ = 603711360. Its totient is φ = 65148672.

The previous prime is 214367057. The next prime is 214367099. The reversal of 214367088 is 880763412.

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

It is a congruent number.

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, 49723 + ... + 53861.

It is an arithmetic number, because the mean of its divisors is an integer number (7546392).

Almost surely, 2214367088 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 214367088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301855680).

214367088 is an abundant number, since it is smaller than the sum of its proper divisors (389344272).

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

214367088 is a wasteful number, since it uses less digits than its factorization.

214367088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 214367088 is about 14641.2802718888. The cubic root of 214367088 is about 598.4842183457.

The spelling of 214367088 in words is "two hundred fourteen million, three hundred sixty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 83 104 156 166 208 249 312 332 498 624 664 996 1079 1328 1992 2158 3237 3984 4139 4316 6474 8278 8632 12417 12948 16556 17264 24834 25896 33112 49668 51792 53807 66224 99336 107614 161421 198672 215228 322842 343537 430456 645684 687074 860912 1030611 1291368 1374148 2061222 2582736 2748296 4122444 4465981 5496592 8244888 8931962 13397943 16489776 17863924 26795886 35727848 53591772 71455696 107183544 214367088