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90216700 = 225273592
BaseRepresentation
bin1010110000010…
…01100011111100
320021202111001021
411120021203330
5141043413300
612541353524
72143554310
oct530114374
9207674037
1090216700
1146a1a162
12262688a4
13158c9782
14bda5b40
157dc0d1a
hex56098fc

90216700 has 54 divisors (see below), whose sum is σ = 224362376. Its totient is φ = 30845280.

The previous prime is 90216697. The next prime is 90216701. The reversal of 90216700 is 761209.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90216701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 251121 + ... + 251479.

Almost surely, 290216700 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 90216700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112181188).

90216700 is an abundant number, since it is smaller than the sum of its proper divisors (134145676).

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

90216700 is a wasteful number, since it uses less digits than its factorization.

90216700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 90216700 is about 9498.2472067219. The cubic root of 90216700 is about 448.4998605948.

Adding to 90216700 its reverse (761209), we get a palindrome (90977909).

The spelling of 90216700 in words is "ninety million, two hundred sixteen thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 359 700 718 1436 1795 2513 3590 5026 7180 8975 10052 12565 17950 25130 35900 50260 62825 125650 128881 251300 257762 515524 644405 902167 1288810 1804334 2577620 3222025 3608668 4510835 6444050 9021670 12888100 18043340 22554175 45108350 90216700