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190217216 = 2107217223
BaseRepresentation
bin10110101011001…
…11110000000000
3111020221000222002
423111213300000
5342143422331
630513003132
74466551100
oct1325476000
9436830862
10190217216
1198411012
12538534a8
1330540587
141b397200
1511a759cb
hexb567c00

190217216 has 132 divisors (see below), whose sum is σ = 470449728. Its totient is φ = 76382208.

The previous prime is 190217179. The next prime is 190217249. The reversal of 190217216 is 612712091.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 852881 + ... + 853103.

Almost surely, 2190217216 is an apocalyptic number.

190217216 is a gapful number since it is divisible by the number (16) 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 190217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235224864).

190217216 is an abundant number, since it is smaller than the sum of its proper divisors (280232512).

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

190217216 is a wasteful number, since it uses less digits than its factorization.

190217216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 190217216 is about 13791.9257538605. The cubic root of 190217216 is about 575.1087038339.

The spelling of 190217216 in words is "one hundred ninety million, two hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 223 224 238 256 272 392 446 448 476 512 544 784 833 892 896 952 1024 1088 1561 1568 1666 1784 1792 1904 2176 3122 3136 3332 3568 3584 3791 3808 4352 6244 6272 6664 7136 7168 7582 7616 8704 10927 12488 12544 13328 14272 15164 15232 17408 21854 24976 25088 26537 26656 28544 30328 30464 43708 49952 50176 53074 53312 57088 60656 60928 87416 99904 106148 106624 114176 121312 121856 174832 185759 199808 212296 213248 228352 242624 349664 371518 399616 424592 426496 485248 699328 743036 799232 849184 852992 970496 1398656 1486072 1598464 1698368 1940992 2797312 2972144 3396736 3881984 5594624 5944288 6793472 11189248 11888576 13586944 23777152 27173888 47554304 95108608 190217216