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220253472 = 25331913417
BaseRepresentation
bin11010010000011…
…00110100100000
3120100110000222000
431020030310200
5422341102342
633504444000
75313060255
oct1510146440
9510400860
10220253472
1110336676a
1261919600
1336828bca
142137542c
151450a44c
hexd20cd20

220253472 has 96 divisors (see below), whose sum is σ = 676267200. Its totient is φ = 69548544.

The previous prime is 220253459. The next prime is 220253477. The reversal of 220253472 is 274352022.

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 not an unprimeable number, because it can be changed into a prime (220253477) 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, 9708 + ... + 23124.

It is an arithmetic number, because the mean of its divisors is an integer number (7044450).

Almost surely, 2220253472 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 220253472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338133600).

220253472 is an abundant number, since it is smaller than the sum of its proper divisors (456013728).

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

220253472 is a wasteful number, since it uses less digits than its factorization.

220253472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13455 (or 13441 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 220253472 is about 14840.9390538470. The cubic root of 220253472 is about 603.9128274995.

The spelling of 220253472 in words is "two hundred twenty million, two hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 13417 16416 26834 40251 53668 80502 107336 120753 161004 214672 241506 254923 322008 362259 429344 483012 509846 644016 724518 764769 966024 1019692 1288032 1449036 1529538 1932048 2039384 2294307 2898072 3059076 3864096 4078768 4588614 5796144 6118152 6882921 8157536 9177228 11592288 12236304 13765842 18354456 24472608 27531684 36708912 55063368 73417824 110126736 220253472