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221149980 = 22335541757
BaseRepresentation
bin11010010111001…
…11101100011100
3120102010120202000
431023213230130
5423103244410
633540002300
75323513062
oct1513475434
9512116660
10221149980
11103919287
1262090390
1336a80c9c
142152a032
1514635dc0
hexd2e7b1c

221149980 has 96 divisors (see below), whose sum is σ = 690204480. Its totient is φ = 58786560.

The previous prime is 221149967. The next prime is 221150021. The reversal of 221149980 is 89941122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291762 + ... + 292518.

It is an arithmetic number, because the mean of its divisors is an integer number (7189630).

Almost surely, 2221149980 is an apocalyptic number.

221149980 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 221149980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345102240).

221149980 is an abundant number, since it is smaller than the sum of its proper divisors (469054500).

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

221149980 is a wasteful number, since it uses less digits than its factorization.

221149980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 221149980 is about 14871.1122650594. The cubic root of 221149980 is about 604.7310964902.

The spelling of 221149980 in words is "two hundred twenty-one million, one hundred forty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 541 757 1082 1514 1623 2164 2271 2705 3028 3246 3785 4542 4869 5410 6492 6813 7570 8115 9084 9738 10820 11355 13626 14607 15140 16230 19476 20439 22710 24345 27252 29214 32460 34065 40878 45420 48690 58428 68130 73035 81756 97380 102195 136260 146070 204390 292140 408780 409537 819074 1228611 1638148 2047685 2457222 3685833 4095370 4914444 6143055 7371666 8190740 11057499 12286110 14743332 18429165 22114998 24572220 36858330 44229996 55287495 73716660 110574990 221149980