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215214496 = 25723371129
BaseRepresentation
bin11001101001111…
…10100110100000
3112222222000210021
430310332212200
5420043330441
633204443224
75222202340
oct1464764640
9488860707
10215214496
11100534922
12600a9514
1335783473
1420822d20
1513d623d1
hexcd3e9a0

215214496 has 96 divisors (see below), whose sum is σ = 519402240. Its totient is φ = 85764096.

The previous prime is 215214491. The next prime is 215214523. The reversal of 215214496 is 694412512.

215214496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (215214491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190060 + ... + 191188.

It is an arithmetic number, because the mean of its divisors is an integer number (5410440).

Almost surely, 2215214496 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 215214496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259701120).

215214496 is an abundant number, since it is smaller than the sum of its proper divisors (304187744).

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

215214496 is a wasteful number, since it uses less digits than its factorization.

215214496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1198 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 215214496 is about 14670.1907281398. The cubic root of 215214496 is about 599.2717980422.

The spelling of 215214496 in words is "two hundred fifteen million, two hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 37 46 56 74 92 112 148 161 184 224 259 296 322 368 518 592 644 736 851 1036 1129 1184 1288 1702 2072 2258 2576 3404 4144 4516 5152 5957 6808 7903 8288 9032 11914 13616 15806 18064 23828 25967 27232 31612 36128 41773 47656 51934 63224 83546 95312 103868 126448 167092 181769 190624 207736 252896 292411 334184 363538 415472 584822 668368 727076 830944 960779 1169644 1336736 1454152 1921558 2339288 2908304 3843116 4678576 5816608 6725453 7686232 9357152 13450906 15372464 26901812 30744928 53803624 107607248 215214496