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22119480 = 233456827
BaseRepresentation
bin101010001100…
…0010000111000
31112121210020000
41110120100320
521130310410
62110033000
7356004165
oct124302070
945553200
1022119480
1111538769
1274a8760
134776066
142d1b06c
151e1ddc0
hex1518438

22119480 has 80 divisors (see below), whose sum is σ = 74356920. Its totient is φ = 5897664.

The previous prime is 22119473. The next prime is 22119527. The reversal of 22119480 is 8491122.

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 19 ways as a sum of consecutive naturals, for example, 174 + ... + 6653.

Almost surely, 222119480 is an apocalyptic number.

22119480 is a gapful number since it is divisible by the number (20) 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 22119480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37178460).

22119480 is an abundant number, since it is smaller than the sum of its proper divisors (52237440).

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

22119480 is a wasteful number, since it uses less digits than its factorization.

22119480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6850 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 22119480 is about 4703.1351245738. The cubic root of 22119480 is about 280.7102715718.

It can be divided in two parts, 221 and 19480, that added together give a triangular number (19701 = T198).

The spelling of 22119480 in words is "twenty-two million, one hundred nineteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 6827 13654 20481 27308 34135 40962 54616 61443 68270 81924 102405 122886 136540 163848 184329 204810 245772 273080 307215 368658 409620 491544 552987 614430 737316 819240 921645 1105974 1228860 1474632 1843290 2211948 2457720 2764935 3686580 4423896 5529870 7373160 11059740 22119480