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90422280 = 23325131392
BaseRepresentation
bin1010110001110…
…11110000001000
320022010221001100
411120323300020
5141122003110
612550021400
72145401544
oct530736010
9208127040
1090422280
114704a663
1226347860
131596c210
14c01aa24
157e11bc0
hex563bc08

90422280 has 144 divisors (see below), whose sum is σ = 318771180. Its totient is φ = 22097664.

The previous prime is 90422251. The next prime is 90422341. The reversal of 90422280 is 8222409.

It can be written as a sum of positive squares in 2 ways, for example, as 84162276 + 6260004 = 9174^2 + 2502^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 650451 + ... + 650589.

Almost surely, 290422280 is an apocalyptic number.

90422280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90422280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159385590).

90422280 is an abundant number, since it is smaller than the sum of its proper divisors (228348900).

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

90422280 is a wasteful number, since it uses less digits than its factorization.

90422280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 90422280 is about 9509.0630453268. The cubic root of 90422280 is about 448.8402730120.

Adding to 90422280 its reverse (8222409), we get a palindrome (98644689).

The spelling of 90422280 in words is "ninety million, four hundred twenty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 139 156 180 195 234 260 278 312 360 390 417 468 520 556 585 695 780 834 936 1112 1170 1251 1390 1560 1668 1807 2085 2340 2502 2780 3336 3614 4170 4680 5004 5421 5560 6255 7228 8340 9035 10008 10842 12510 14456 16263 16680 18070 19321 21684 25020 27105 32526 36140 38642 43368 50040 54210 57963 65052 72280 77284 81315 96605 108420 115926 130104 154568 162630 173889 193210 216840 231852 251173 289815 325260 347778 386420 463704 502346 579630 650520 695556 753519 772840 869445 1004692 1159260 1255865 1391112 1507038 1738890 2009384 2260557 2318520 2511730 3014076 3477780 3767595 4521114 5023460 6028152 6955560 7535190 9042228 10046920 11302785 15070380 18084456 22605570 30140760 45211140 90422280