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220694112 = 25331791427
BaseRepresentation
bin11010010011110…
…00011001100000
3120101021102102000
431021320121200
5422444202422
633522124000
75316604032
oct1511703140
9511242360
10220694112
11103637831
1261ab0600
1336951642
142144bc52
1514595cac
hexd278660

220694112 has 96 divisors (see below), whose sum is σ = 647740800. Its totient is φ = 73102464.

The previous prime is 220694087. The next prime is 220694137. The reversal of 220694112 is 211496022.

It is an interprime number because it is at equal distance from previous prime (220694087) and next prime (220694137).

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 (27).

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, 153943 + ... + 155369.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2220694112 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 220694112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323870400).

220694112 is an abundant number, since it is smaller than the sum of its proper divisors (427046688).

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

220694112 is a wasteful number, since it uses less digits than its factorization.

220694112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 220694112 is about 14855.7770581010. Note that the first 3 decimals coincide. The cubic root of 220694112 is about 604.3152893901.

The spelling of 220694112 in words is "two hundred twenty million, six hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 179 216 288 358 432 537 716 864 1074 1427 1432 1611 2148 2854 2864 3222 4281 4296 4833 5708 5728 6444 8562 8592 9666 11416 12843 12888 17124 17184 19332 22832 25686 25776 34248 38529 38664 45664 51372 51552 68496 77058 77328 102744 136992 154116 154656 205488 255433 308232 410976 510866 616464 766299 1021732 1232928 1532598 2043464 2298897 3065196 4086928 4597794 6130392 6896691 8173856 9195588 12260784 13793382 18391176 24521568 27586764 36782352 55173528 73564704 110347056 220694112